Finding the Third Proportional to 32.25 and 51.42

Step by Step Solution

1. Step 1: Write the proportion equation
   32.25 : 51.42 = 51.42 : x
2. Step 2: Convert to fraction form
   32.25/51.42 = 51.42/x
3. Step 3: Cross multiply
   32.25x = 51.42 × 51.42
4. Step 4: Simplify right side
   32.25x = 2,644.21
5. Step 5: Solve for x
   x = 2,644.21/32.25
6. Step 6: Final answer
   x = 81.99