Finding the Third Proportional to 26,662.50 and 35,778.38

Step by Step Solution

1. Step 1: Write the proportion equation
   26,662.50 : 35,778.38 = 35,778.38 : x
2. Step 2: Convert to fraction form
   26,662.50/35,778.38 = 35,778.38/x
3. Step 3: Cross multiply
   26,662.50x = 35,778.38 × 35,778.38
4. Step 4: Simplify right side
   26,662.50x = 1,280,092,117.64
5. Step 5: Solve for x
   x = 1,280,092,117.64/26,662.50
6. Step 6: Final answer
   x = 48,010.96