Finding the Third Proportional to 54.56 and 86.63

Step by Step Solution

1. Step 1: Write the proportion equation
   54.56 : 86.63 = 86.63 : x
2. Step 2: Convert to fraction form
   54.56/86.63 = 86.63/x
3. Step 3: Cross multiply
   54.56x = 86.63 × 86.63
4. Step 4: Simplify right side
   54.56x = 7,503.89
5. Step 5: Solve for x
   x = 7,503.89/54.56
6. Step 6: Final answer
   x = 137.53