Finding the Third Proportional to 5,824 and 12,468

Step by Step Solution

1. Step 1: Write the proportion equation
   5,824 : 12,468 = 12,468 : x
2. Step 2: Convert to fraction form
   5,824/12,468 = 12,468/x
3. Step 3: Cross multiply
   5,824x = 12,468 × 12,468
4. Step 4: Simplify right side
   5,824x = 155,451,024
5. Step 5: Solve for x
   x = 155,451,024/5,824
6. Step 6: Final answer
   x = 26,691.45