Finding the Third Proportional to 27.38 and 59.63

Step by Step Solution

1. Step 1: Write the proportion equation
   27.38 : 59.63 = 59.63 : x
2. Step 2: Convert to fraction form
   27.38/59.63 = 59.63/x
3. Step 3: Cross multiply
   27.38x = 59.63 × 59.63
4. Step 4: Simplify right side
   27.38x = 3,555.14
5. Step 5: Solve for x
   x = 3,555.14/27.38
6. Step 6: Final answer
   x = 129.87