Finding the Third Proportional to 26,256.38 and 41,758.88

Step by Step Solution

1. Step 1: Write the proportion equation
   26,256.38 : 41,758.88 = 41,758.88 : x
2. Step 2: Convert to fraction form
   26,256.38/41,758.88 = 41,758.88/x
3. Step 3: Cross multiply
   26,256.38x = 41,758.88 × 41,758.88
4. Step 4: Simplify right side
   26,256.38x = 1,743,803,641.27
5. Step 5: Solve for x
   x = 1,743,803,641.27/26,256.38
6. Step 6: Final answer
   x = 66,414.49