Finding the Third Proportional to 52,751.25 and 77,719.50

Step by Step Solution

1. Step 1: Write the proportion equation
   52,751.25 : 77,719.50 = 77,719.50 : x
2. Step 2: Convert to fraction form
   52,751.25/77,719.50 = 77,719.50/x
3. Step 3: Cross multiply
   52,751.25x = 77,719.50 × 77,719.50
4. Step 4: Simplify right side
   52,751.25x = 6,040,320,680.25
5. Step 5: Solve for x
   x = 6,040,320,680.25/52,751.25
6. Step 6: Final answer
   x = 114,505.74