Finding the Third Proportional to 31.50 and 53.88

Step by Step Solution

1. Step 1: Write the proportion equation
   31.50 : 53.88 = 53.88 : x
2. Step 2: Convert to fraction form
   31.50/53.88 = 53.88/x
3. Step 3: Cross multiply
   31.50x = 53.88 × 53.88
4. Step 4: Simplify right side
   31.50x = 2,902.52
5. Step 5: Solve for x
   x = 2,902.52/31.50
6. Step 6: Final answer
   x = 92.14