Finding the Third Proportional to 59.70 and 130.15

Step by Step Solution

1. Step 1: Write the proportion equation
   59.70 : 130.15 = 130.15 : x
2. Step 2: Convert to fraction form
   59.70/130.15 = 130.15/x
3. Step 3: Cross multiply
   59.70x = 130.15 × 130.15
4. Step 4: Simplify right side
   59.70x = 16,938.62
5. Step 5: Solve for x
   x = 16,938.62/59.70
6. Step 6: Final answer
   x = 283.75