Finding the Third Proportional to 96.50 and 130.83

Step by Step Solution

1. Step 1: Write the proportion equation
   96.50 : 130.83 = 130.83 : x
2. Step 2: Convert to fraction form
   96.50/130.83 = 130.83/x
3. Step 3: Cross multiply
   96.50x = 130.83 × 130.83
4. Step 4: Simplify right side
   96.50x = 17,117.53
5. Step 5: Solve for x
   x = 17,117.53/96.50
6. Step 6: Final answer
   x = 177.38