Finding the Third Proportional to 32.25 and 56.50

Step by Step Solution

1. Step 1: Write the proportion equation
   32.25 : 56.50 = 56.50 : x
2. Step 2: Convert to fraction form
   32.25/56.50 = 56.50/x
3. Step 3: Cross multiply
   32.25x = 56.50 × 56.50
4. Step 4: Simplify right side
   32.25x = 3,192.25
5. Step 5: Solve for x
   x = 3,192.25/32.25
6. Step 6: Final answer
   x = 98.98