Finding the Third Proportional to 26,102.25 and 39,765.38

Step by Step Solution

1. Step 1: Write the proportion equation
   26,102.25 : 39,765.38 = 39,765.38 : x
2. Step 2: Convert to fraction form
   26,102.25/39,765.38 = 39,765.38/x
3. Step 3: Cross multiply
   26,102.25x = 39,765.38 × 39,765.38
4. Step 4: Simplify right side
   26,102.25x = 1,581,285,048.89
5. Step 5: Solve for x
   x = 1,581,285,048.89/26,102.25
6. Step 6: Final answer
   x = 60,580.41