Finding the Third Proportional to 71.55 and 152.71

Step by Step Solution

1. Step 1: Write the proportion equation
   71.55 : 152.71 = 152.71 : x
2. Step 2: Convert to fraction form
   71.55/152.71 = 152.71/x
3. Step 3: Cross multiply
   71.55x = 152.71 × 152.71
4. Step 4: Simplify right side
   71.55x = 23,318.99
5. Step 5: Solve for x
   x = 23,318.99/71.55
6. Step 6: Final answer
   x = 325.92