Finding the Third Proportional to 26,540 and 37,200

Step by Step Solution

1. Step 1: Write the proportion equation
   26,540 : 37,200 = 37,200 : x
2. Step 2: Convert to fraction form
   26,540/37,200 = 37,200/x
3. Step 3: Cross multiply
   26,540x = 37,200 × 37,200
4. Step 4: Simplify right side
   26,540x = 1,383,840,000
5. Step 5: Solve for x
   x = 1,383,840,000/26,540
6. Step 6: Final answer
   x = 52,141.67