Finding the Third Proportional to 26,494.50 and 37,134.75

Step by Step Solution

1. Step 1: Write the proportion equation
   26,494.50 : 37,134.75 = 37,134.75 : x
2. Step 2: Convert to fraction form
   26,494.50/37,134.75 = 37,134.75/x
3. Step 3: Cross multiply
   26,494.50x = 37,134.75 × 37,134.75
4. Step 4: Simplify right side
   26,494.50x = 1,378,989,657.56
5. Step 5: Solve for x
   x = 1,378,989,657.56/26,494.50
6. Step 6: Final answer
   x = 52,048.15