Finding the Third Proportional to 14,578 and 32,171

Step by Step Solution

1. Step 1: Write the proportion equation
   14,578 : 32,171 = 32,171 : x
2. Step 2: Convert to fraction form
   14,578/32,171 = 32,171/x
3. Step 3: Cross multiply
   14,578x = 32,171 × 32,171
4. Step 4: Simplify right side
   14,578x = 1,034,973,241
5. Step 5: Solve for x
   x = 1,034,973,241/14,578
6. Step 6: Final answer
   x = 70,995.56