Finding the Third Proportional to 54.84 and 83.72

Step by Step Solution

1. Step 1: Write the proportion equation
   54.84 : 83.72 = 83.72 : x
2. Step 2: Convert to fraction form
   54.84/83.72 = 83.72/x
3. Step 3: Cross multiply
   54.84x = 83.72 × 83.72
4. Step 4: Simplify right side
   54.84x = 7,008.83
5. Step 5: Solve for x
   x = 7,008.83/54.84
6. Step 6: Final answer
   x = 127.80