Finding the Third Proportional to 20,876,264,641,730 and 42,347,790,103,128

Step by Step Solution

1. Step 1: Write the proportion equation
   20,876,264,641,730 : 42,347,790,103,128 = 42,347,790,103,128 : x
2. Step 2: Convert to fraction form
   20,876,264,641,730/42,347,790,103,128 = 42,347,790,103,128/x
3. Step 3: Cross multiply
   20,876,264,641,730x = 42,347,790,103,128 × 42,347,790,103,128
4. Step 4: Simplify right side
   20,876,264,641,730x = 1,793,335,326,618,585,748,094,320,640
5. Step 5: Solve for x
   x = 1,793,335,326,618,585,748,094,320,640/20,876,264,641,730
6. Step 6: Final answer
   x = 85,903,074,970,311.05