Finding the Third Proportional to 10,464 and 24,648

Step by Step Solution

1. Step 1: Write the proportion equation
   10,464 : 24,648 = 24,648 : x
2. Step 2: Convert to fraction form
   10,464/24,648 = 24,648/x
3. Step 3: Cross multiply
   10,464x = 24,648 × 24,648
4. Step 4: Simplify right side
   10,464x = 607,523,904
5. Step 5: Solve for x
   x = 607,523,904/10,464
6. Step 6: Final answer
   x = 58,058.48