Finding the Third Proportional to 26,277 and 57,664.50

Step by Step Solution

1. Step 1: Write the proportion equation
   26,277 : 57,664.50 = 57,664.50 : x
2. Step 2: Convert to fraction form
   26,277/57,664.50 = 57,664.50/x
3. Step 3: Cross multiply
   26,277x = 57,664.50 × 57,664.50
4. Step 4: Simplify right side
   26,277x = 3,325,194,560.25
5. Step 5: Solve for x
   x = 3,325,194,560.25/26,277
6. Step 6: Final answer
   x = 126,543.92