Finding the Third Proportional to 26,923.50 and 38,540.25

Step by Step Solution

1. Step 1: Write the proportion equation
   26,923.50 : 38,540.25 = 38,540.25 : x
2. Step 2: Convert to fraction form
   26,923.50/38,540.25 = 38,540.25/x
3. Step 3: Cross multiply
   26,923.50x = 38,540.25 × 38,540.25
4. Step 4: Simplify right side
   26,923.50x = 1,485,350,870.06
5. Step 5: Solve for x
   x = 1,485,350,870.06/26,923.50
6. Step 6: Final answer
   x = 55,169.31