Finding the Third Proportional to 51,714 and 77,499

Step by Step Solution

1. Step 1: Write the proportion equation
   51,714 : 77,499 = 77,499 : x
2. Step 2: Convert to fraction form
   51,714/77,499 = 77,499/x
3. Step 3: Cross multiply
   51,714x = 77,499 × 77,499
4. Step 4: Simplify right side
   51,714x = 6,006,095,001
5. Step 5: Solve for x
   x = 6,006,095,001/51,714
6. Step 6: Final answer
   x = 116,140.60