Finding the Third Proportional to 15.50 and 37.31

Step by Step Solution

1. Step 1: Write the proportion equation
   15.50 : 37.31 = 37.31 : x
2. Step 2: Convert to fraction form
   15.50/37.31 = 37.31/x
3. Step 3: Cross multiply
   15.50x = 37.31 × 37.31
4. Step 4: Simplify right side
   15.50x = 1,392.22
5. Step 5: Solve for x
   x = 1,392.22/15.50
6. Step 6: Final answer
   x = 89.82