Finding the Third Proportional to 32.91 and 71.60

Step by Step Solution

1. Step 1: Write the proportion equation
   32.91 : 71.60 = 71.60 : x
2. Step 2: Convert to fraction form
   32.91/71.60 = 71.60/x
3. Step 3: Cross multiply
   32.91x = 71.60 × 71.60
4. Step 4: Simplify right side
   32.91x = 5,126.76
5. Step 5: Solve for x
   x = 5,126.76/32.91
6. Step 6: Final answer
   x = 155.76