Finding the Third Proportional to 71.51 and 152.27

Step by Step Solution

1. Step 1: Write the proportion equation
   71.51 : 152.27 = 152.27 : x
2. Step 2: Convert to fraction form
   71.51/152.27 = 152.27/x
3. Step 3: Cross multiply
   71.51x = 152.27 × 152.27
4. Step 4: Simplify right side
   71.51x = 23,186.31
5. Step 5: Solve for x
   x = 23,186.31/71.51
6. Step 6: Final answer
   x = 324.25