Finding the Third Proportional to 32.50 and 47.50

Step by Step Solution

1. Step 1: Write the proportion equation
   32.50 : 47.50 = 47.50 : x
2. Step 2: Convert to fraction form
   32.50/47.50 = 47.50/x
3. Step 3: Cross multiply
   32.50x = 47.50 × 47.50
4. Step 4: Simplify right side
   32.50x = 2,256.25
5. Step 5: Solve for x
   x = 2,256.25/32.50
6. Step 6: Final answer
   x = 69.42