Finding the Third Proportional to 38.50 and 54.63

Step by Step Solution

1. Step 1: Write the proportion equation
   38.50 : 54.63 = 54.63 : x
2. Step 2: Convert to fraction form
   38.50/54.63 = 54.63/x
3. Step 3: Cross multiply
   38.50x = 54.63 × 54.63
4. Step 4: Simplify right side
   38.50x = 2,983.89
5. Step 5: Solve for x
   x = 2,983.89/38.50
6. Step 6: Final answer
   x = 77.50