Finding the Third Proportional to 20,408 and 32,464

Step by Step Solution

1. Step 1: Write the proportion equation
   20,408 : 32,464 = 32,464 : x
2. Step 2: Convert to fraction form
   20,408/32,464 = 32,464/x
3. Step 3: Cross multiply
   20,408x = 32,464 × 32,464
4. Step 4: Simplify right side
   20,408x = 1,053,911,296
5. Step 5: Solve for x
   x = 1,053,911,296/20,408
6. Step 6: Final answer
   x = 51,642.07