Finding the Third Proportional to 26,493 and 37,132.50

Step by Step Solution

1. Step 1: Write the proportion equation
   26,493 : 37,132.50 = 37,132.50 : x
2. Step 2: Convert to fraction form
   26,493/37,132.50 = 37,132.50/x
3. Step 3: Cross multiply
   26,493x = 37,132.50 × 37,132.50
4. Step 4: Simplify right side
   26,493x = 1,378,822,556.25
5. Step 5: Solve for x
   x = 1,378,822,556.25/26,493
6. Step 6: Final answer
   x = 52,044.79