Finding the Third Proportional to 26,454 and 57,769.50

Step by Step Solution

1. Step 1: Write the proportion equation
   26,454 : 57,769.50 = 57,769.50 : x
2. Step 2: Convert to fraction form
   26,454/57,769.50 = 57,769.50/x
3. Step 3: Cross multiply
   26,454x = 57,769.50 × 57,769.50
4. Step 4: Simplify right side
   26,454x = 3,337,315,130.25
5. Step 5: Solve for x
   x = 3,337,315,130.25/26,454
6. Step 6: Final answer
   x = 126,155.41