Finding the Third Proportional to 31.50 and 67.88

Step by Step Solution

1. Step 1: Write the proportion equation
   31.50 : 67.88 = 67.88 : x
2. Step 2: Convert to fraction form
   31.50/67.88 = 67.88/x
3. Step 3: Cross multiply
   31.50x = 67.88 × 67.88
4. Step 4: Simplify right side
   31.50x = 4,607.02
5. Step 5: Solve for x
   x = 4,607.02/31.50
6. Step 6: Final answer
   x = 146.25