Finding the Third Proportional to 83.81 and 129.52

Step by Step Solution

1. Step 1: Write the proportion equation
   83.81 : 129.52 = 129.52 : x
2. Step 2: Convert to fraction form
   83.81/129.52 = 129.52/x
3. Step 3: Cross multiply
   83.81x = 129.52 × 129.52
4. Step 4: Simplify right side
   83.81x = 16,774.30
5. Step 5: Solve for x
   x = 16,774.30/83.81
6. Step 6: Final answer
   x = 200.14