Finding the Third Proportional to 71.50 and 106.25

Step by Step Solution

1. Step 1: Write the proportion equation
   71.50 : 106.25 = 106.25 : x
2. Step 2: Convert to fraction form
   71.50/106.25 = 106.25/x
3. Step 3: Cross multiply
   71.50x = 106.25 × 106.25
4. Step 4: Simplify right side
   71.50x = 11,289.06
5. Step 5: Solve for x
   x = 11,289.06/71.50
6. Step 6: Final answer
   x = 157.89