Finding the Third Proportional to 10,644 and 24,846

Step by Step Solution

1. Step 1: Write the proportion equation
   10,644 : 24,846 = 24,846 : x
2. Step 2: Convert to fraction form
   10,644/24,846 = 24,846/x
3. Step 3: Cross multiply
   10,644x = 24,846 × 24,846
4. Step 4: Simplify right side
   10,644x = 617,323,716
5. Step 5: Solve for x
   x = 617,323,716/10,644
6. Step 6: Final answer
   x = 57,997.34