Finding the Third Proportional to 15.69 and 37.10

Step by Step Solution

1. Step 1: Write the proportion equation
   15.69 : 37.10 = 37.10 : x
2. Step 2: Convert to fraction form
   15.69/37.10 = 37.10/x
3. Step 3: Cross multiply
   15.69x = 37.10 × 37.10
4. Step 4: Simplify right side
   15.69x = 1,376.18
5. Step 5: Solve for x
   x = 1,376.18/15.69
6. Step 6: Final answer
   x = 87.68