Finding the Third Proportional to 59.53 and 130.66

Step by Step Solution

1. Step 1: Write the proportion equation
   59.53 : 130.66 = 130.66 : x
2. Step 2: Convert to fraction form
   59.53/130.66 = 130.66/x
3. Step 3: Cross multiply
   59.53x = 130.66 × 130.66
4. Step 4: Simplify right side
   59.53x = 17,073.10
5. Step 5: Solve for x
   x = 17,073.10/59.53
6. Step 6: Final answer
   x = 286.79