Finding the Third Proportional to 71.72 and 105.26

Step by Step Solution

1. Step 1: Write the proportion equation
   71.72 : 105.26 = 105.26 : x
2. Step 2: Convert to fraction form
   71.72/105.26 = 105.26/x
3. Step 3: Cross multiply
   71.72x = 105.26 × 105.26
4. Step 4: Simplify right side
   71.72x = 11,079.21
5. Step 5: Solve for x
   x = 11,079.21/71.72
6. Step 6: Final answer
   x = 154.48