Finding the Third Proportional to 31.14 and 32.53

Step by Step Solution

1. Step 1: Write the proportion equation
   31.14 : 32.53 = 32.53 : x
2. Step 2: Convert to fraction form
   31.14/32.53 = 32.53/x
3. Step 3: Cross multiply
   31.14x = 32.53 × 32.53
4. Step 4: Simplify right side
   31.14x = 1,058.28
5. Step 5: Solve for x
   x = 1,058.28/31.14
6. Step 6: Final answer
   x = 33.98