Finding the Third Proportional to 26.50 and 37.50

Step by Step Solution

1. Step 1: Write the proportion equation
   26.50 : 37.50 = 37.50 : x
2. Step 2: Convert to fraction form
   26.50/37.50 = 37.50/x
3. Step 3: Cross multiply
   26.50x = 37.50 × 37.50
4. Step 4: Simplify right side
   26.50x = 1,406.25
5. Step 5: Solve for x
   x = 1,406.25/26.50
6. Step 6: Final answer
   x = 53.07