Finding the Third Proportional to 72.26 and 109.28

Step by Step Solution

1. Step 1: Write the proportion equation
   72.26 : 109.28 = 109.28 : x
2. Step 2: Convert to fraction form
   72.26/109.28 = 109.28/x
3. Step 3: Cross multiply
   72.26x = 109.28 × 109.28
4. Step 4: Simplify right side
   72.26x = 11,941.86
5. Step 5: Solve for x
   x = 11,941.86/72.26
6. Step 6: Final answer
   x = 165.26