Finding the Third Proportional to 26,434 and 38,920.50

Step by Step Solution

1. Step 1: Write the proportion equation
   26,434 : 38,920.50 = 38,920.50 : x
2. Step 2: Convert to fraction form
   26,434/38,920.50 = 38,920.50/x
3. Step 3: Cross multiply
   26,434x = 38,920.50 × 38,920.50
4. Step 4: Simplify right side
   26,434x = 1,514,805,320.25
5. Step 5: Solve for x
   x = 1,514,805,320.25/26,434
6. Step 6: Final answer
   x = 57,305.19