Finding the Third Proportional to 26,782.50 and 51,134.25

Step by Step Solution

1. Step 1: Write the proportion equation
   26,782.50 : 51,134.25 = 51,134.25 : x
2. Step 2: Convert to fraction form
   26,782.50/51,134.25 = 51,134.25/x
3. Step 3: Cross multiply
   26,782.50x = 51,134.25 × 51,134.25
4. Step 4: Simplify right side
   26,782.50x = 2,614,711,523.06
5. Step 5: Solve for x
   x = 2,614,711,523.06/26,782.50
6. Step 6: Final answer
   x = 97,627.61