Finding the Third Proportional to 54.61 and 145.52

Step by Step Solution

1. Step 1: Write the proportion equation
   54.61 : 145.52 = 145.52 : x
2. Step 2: Convert to fraction form
   54.61/145.52 = 145.52/x
3. Step 3: Cross multiply
   54.61x = 145.52 × 145.52
4. Step 4: Simplify right side
   54.61x = 21,177.07
5. Step 5: Solve for x
   x = 21,177.07/54.61
6. Step 6: Final answer
   x = 387.79