Finding the Third Proportional to 26,514 and 57,629.25

Step by Step Solution

1. Step 1: Write the proportion equation
   26,514 : 57,629.25 = 57,629.25 : x
2. Step 2: Convert to fraction form
   26,514/57,629.25 = 57,629.25/x
3. Step 3: Cross multiply
   26,514x = 57,629.25 × 57,629.25
4. Step 4: Simplify right side
   26,514x = 3,321,130,455.56
5. Step 5: Solve for x
   x = 3,321,130,455.56/26,514
6. Step 6: Final answer
   x = 125,259.50