Finding the Third Proportional to 32.50 and 59.75

Step by Step Solution

1. Step 1: Write the proportion equation
   32.50 : 59.75 = 59.75 : x
2. Step 2: Convert to fraction form
   32.50/59.75 = 59.75/x
3. Step 3: Cross multiply
   32.50x = 59.75 × 59.75
4. Step 4: Simplify right side
   32.50x = 3,570.06
5. Step 5: Solve for x
   x = 3,570.06/32.50
6. Step 6: Final answer
   x = 109.85