Finding the Third Proportional to 71.34 and 151.69

Step by Step Solution

1. Step 1: Write the proportion equation
   71.34 : 151.69 = 151.69 : x
2. Step 2: Convert to fraction form
   71.34/151.69 = 151.69/x
3. Step 3: Cross multiply
   71.34x = 151.69 × 151.69
4. Step 4: Simplify right side
   71.34x = 23,009.10
5. Step 5: Solve for x
   x = 23,009.10/71.34
6. Step 6: Final answer
   x = 322.51