Finding the Third Proportional to 26,582 and 41,128.50

Step by Step Solution

1. Step 1: Write the proportion equation
   26,582 : 41,128.50 = 41,128.50 : x
2. Step 2: Convert to fraction form
   26,582/41,128.50 = 41,128.50/x
3. Step 3: Cross multiply
   26,582x = 41,128.50 × 41,128.50
4. Step 4: Simplify right side
   26,582x = 1,691,553,512.25
5. Step 5: Solve for x
   x = 1,691,553,512.25/26,582
6. Step 6: Final answer
   x = 63,635.30