Finding the Third Proportional to 83.29 and 102.52

Step by Step Solution

1. Step 1: Write the proportion equation
   83.29 : 102.52 = 102.52 : x
2. Step 2: Convert to fraction form
   83.29/102.52 = 102.52/x
3. Step 3: Cross multiply
   83.29x = 102.52 × 102.52
4. Step 4: Simplify right side
   83.29x = 10,509.45
5. Step 5: Solve for x
   x = 10,509.45/83.29
6. Step 6: Final answer
   x = 126.17