Finding the Third Proportional to 10,366 and 24,338

Step by Step Solution

1. Step 1: Write the proportion equation
   10,366 : 24,338 = 24,338 : x
2. Step 2: Convert to fraction form
   10,366/24,338 = 24,338/x
3. Step 3: Cross multiply
   10,366x = 24,338 × 24,338
4. Step 4: Simplify right side
   10,366x = 592,338,244
5. Step 5: Solve for x
   x = 592,338,244/10,366
6. Step 6: Final answer
   x = 57,142.41