Finding the Third Proportional to 32.63 and 71.44

Step by Step Solution

1. Step 1: Write the proportion equation
   32.63 : 71.44 = 71.44 : x
2. Step 2: Convert to fraction form
   32.63/71.44 = 71.44/x
3. Step 3: Cross multiply
   32.63x = 71.44 × 71.44
4. Step 4: Simplify right side
   32.63x = 5,103.32
5. Step 5: Solve for x
   x = 5,103.32/32.63
6. Step 6: Final answer
   x = 156.42