Finding the Third Proportional to 52,006.50 and 77,037.75

Step by Step Solution

1. Step 1: Write the proportion equation
   52,006.50 : 77,037.75 = 77,037.75 : x
2. Step 2: Convert to fraction form
   52,006.50/77,037.75 = 77,037.75/x
3. Step 3: Cross multiply
   52,006.50x = 77,037.75 × 77,037.75
4. Step 4: Simplify right side
   52,006.50x = 5,934,814,925.06
5. Step 5: Solve for x
   x = 5,934,814,925.06/52,006.50
6. Step 6: Final answer
   x = 114,116.79