Finding the Third Proportional to 71.69 and 109.47

Step by Step Solution

1. Step 1: Write the proportion equation
   71.69 : 109.47 = 109.47 : x
2. Step 2: Convert to fraction form
   71.69/109.47 = 109.47/x
3. Step 3: Cross multiply
   71.69x = 109.47 × 109.47
4. Step 4: Simplify right side
   71.69x = 11,983.41
5. Step 5: Solve for x
   x = 11,983.41/71.69
6. Step 6: Final answer
   x = 167.16