Finding the Third Proportional to 20,876,264,641,728 and 42,347,790,103,124

Step by Step Solution

1. Step 1: Write the proportion equation
   20,876,264,641,728 : 42,347,790,103,124 = 42,347,790,103,124 : x
2. Step 2: Convert to fraction form
   20,876,264,641,728/42,347,790,103,124 = 42,347,790,103,124/x
3. Step 3: Cross multiply
   20,876,264,641,728x = 42,347,790,103,124 × 42,347,790,103,124
4. Step 4: Simplify right side
   20,876,264,641,728x = 1,793,335,326,618,247,098,512,965,632
5. Step 5: Solve for x
   x = 1,793,335,326,618,247,098,512,965,632/20,876,264,641,728
6. Step 6: Final answer
   x = 85,903,074,970,303.05