Finding the Third Proportional to 51,771 and 77,332.50

Step by Step Solution

1. Step 1: Write the proportion equation
   51,771 : 77,332.50 = 77,332.50 : x
2. Step 2: Convert to fraction form
   51,771/77,332.50 = 77,332.50/x
3. Step 3: Cross multiply
   51,771x = 77,332.50 × 77,332.50
4. Step 4: Simplify right side
   51,771x = 5,980,315,556.25
5. Step 5: Solve for x
   x = 5,980,315,556.25/51,771
6. Step 6: Final answer
   x = 115,514.78