Finding the Third Proportional to 14.61 and 32.07

Step by Step Solution

1. Step 1: Write the proportion equation
   14.61 : 32.07 = 32.07 : x
2. Step 2: Convert to fraction form
   14.61/32.07 = 32.07/x
3. Step 3: Cross multiply
   14.61x = 32.07 × 32.07
4. Step 4: Simplify right side
   14.61x = 1,028.31
5. Step 5: Solve for x
   x = 1,028.31/14.61
6. Step 6: Final answer
   x = 70.37