Finding the Third Proportional to 71.19 and 108.69

Step by Step Solution

1. Step 1: Write the proportion equation
   71.19 : 108.69 = 108.69 : x
2. Step 2: Convert to fraction form
   71.19/108.69 = 108.69/x
3. Step 3: Cross multiply
   71.19x = 108.69 × 108.69
4. Step 4: Simplify right side
   71.19x = 11,812.55
5. Step 5: Solve for x
   x = 11,812.55/71.19
6. Step 6: Final answer
   x = 165.93