Finding the Third Proportional to 61.38 and 132.63

Step by Step Solution

1. Step 1: Write the proportion equation
   61.38 : 132.63 = 132.63 : x
2. Step 2: Convert to fraction form
   61.38/132.63 = 132.63/x
3. Step 3: Cross multiply
   61.38x = 132.63 × 132.63
4. Step 4: Simplify right side
   61.38x = 17,589.39
5. Step 5: Solve for x
   x = 17,589.39/61.38
6. Step 6: Final answer
   x = 286.59