Finding the Third Proportional to 14.50 and 21.50

Step by Step Solution

1. Step 1: Write the proportion equation
   14.50 : 21.50 = 21.50 : x
2. Step 2: Convert to fraction form
   14.50/21.50 = 21.50/x
3. Step 3: Cross multiply
   14.50x = 21.50 × 21.50
4. Step 4: Simplify right side
   14.50x = 462.25
5. Step 5: Solve for x
   x = 462.25/14.50
6. Step 6: Final answer
   x = 31.88