Finding the Third Proportional to 51,772.50 and 76,929.75

Step by Step Solution

1. Step 1: Write the proportion equation
   51,772.50 : 76,929.75 = 76,929.75 : x
2. Step 2: Convert to fraction form
   51,772.50/76,929.75 = 76,929.75/x
3. Step 3: Cross multiply
   51,772.50x = 76,929.75 × 76,929.75
4. Step 4: Simplify right side
   51,772.50x = 5,918,186,435.06
5. Step 5: Solve for x
   x = 5,918,186,435.06/51,772.50
6. Step 6: Final answer
   x = 114,311.39