Finding the Third Proportional to 51,022.50 and 76,728.75

Step by Step Solution

1. Step 1: Write the proportion equation
   51,022.50 : 76,728.75 = 76,728.75 : x
2. Step 2: Convert to fraction form
   51,022.50/76,728.75 = 76,728.75/x
3. Step 3: Cross multiply
   51,022.50x = 76,728.75 × 76,728.75
4. Step 4: Simplify right side
   51,022.50x = 5,887,301,076.56
5. Step 5: Solve for x
   x = 5,887,301,076.56/51,022.50
6. Step 6: Final answer
   x = 115,386.37