Finding the Third Proportional to 101.50 and 116.13

Step by Step Solution

1. Step 1: Write the proportion equation
   101.50 : 116.13 = 116.13 : x
2. Step 2: Convert to fraction form
   101.50/116.13 = 116.13/x
3. Step 3: Cross multiply
   101.50x = 116.13 × 116.13
4. Step 4: Simplify right side
   101.50x = 13,485.02
5. Step 5: Solve for x
   x = 13,485.02/101.50
6. Step 6: Final answer
   x = 132.86