Finding the Third Proportional to 15.90 and 37.61

Step by Step Solution

1. Step 1: Write the proportion equation
   15.90 : 37.61 = 37.61 : x
2. Step 2: Convert to fraction form
   15.90/37.61 = 37.61/x
3. Step 3: Cross multiply
   15.90x = 37.61 × 37.61
4. Step 4: Simplify right side
   15.90x = 1,414.72
5. Step 5: Solve for x
   x = 1,414.72/15.90
6. Step 6: Final answer
   x = 88.98