Finding the Third Proportional to 51,301.50 and 77,100.75

Step by Step Solution

1. Step 1: Write the proportion equation
   51,301.50 : 77,100.75 = 77,100.75 : x
2. Step 2: Convert to fraction form
   51,301.50/77,100.75 = 77,100.75/x
3. Step 3: Cross multiply
   51,301.50x = 77,100.75 × 77,100.75
4. Step 4: Simplify right side
   51,301.50x = 5,944,525,650.56
5. Step 5: Solve for x
   x = 5,944,525,650.56/51,301.50
6. Step 6: Final answer
   x = 115,874.30