Finding the Third Proportional to 20,876,264,640,975 and 42,347,790,101,760

Step by Step Solution

1. Step 1: Write the proportion equation
   20,876,264,640,975 : 42,347,790,101,760 = 42,347,790,101,760 : x
2. Step 2: Convert to fraction form
   20,876,264,640,975/42,347,790,101,760 = 42,347,790,101,760/x
3. Step 3: Cross multiply
   20,876,264,640,975x = 42,347,790,101,760 × 42,347,790,101,760
4. Step 4: Simplify right side
   20,876,264,640,975x = 1,793,335,326,502,722,236,416,262,144
5. Step 5: Solve for x
   x = 1,793,335,326,502,722,236,416,262,144/20,876,264,640,975
6. Step 6: Final answer
   x = 85,903,074,967,867.75