Finding the Third Proportional to 59.63 and 138.38

Step by Step Solution

1. Step 1: Write the proportion equation
   59.63 : 138.38 = 138.38 : x
2. Step 2: Convert to fraction form
   59.63/138.38 = 138.38/x
3. Step 3: Cross multiply
   59.63x = 138.38 × 138.38
4. Step 4: Simplify right side
   59.63x = 19,147.64
5. Step 5: Solve for x
   x = 19,147.64/59.63
6. Step 6: Final answer
   x = 321.13