Finding the Third Proportional to 21,404 and 32,170

Step by Step Solution

1. Step 1: Write the proportion equation
   21,404 : 32,170 = 32,170 : x
2. Step 2: Convert to fraction form
   21,404/32,170 = 32,170/x
3. Step 3: Cross multiply
   21,404x = 32,170 × 32,170
4. Step 4: Simplify right side
   21,404x = 1,034,908,900
5. Step 5: Solve for x
   x = 1,034,908,900/21,404
6. Step 6: Final answer
   x = 48,351.19