Finding the Third Proportional to 32.47 and 47.69

Step by Step Solution

1. Step 1: Write the proportion equation
   32.47 : 47.69 = 47.69 : x
2. Step 2: Convert to fraction form
   32.47/47.69 = 47.69/x
3. Step 3: Cross multiply
   32.47x = 47.69 × 47.69
4. Step 4: Simplify right side
   32.47x = 2,274.10
5. Step 5: Solve for x
   x = 2,274.10/32.47
6. Step 6: Final answer
   x = 70.04