Finding the Third Proportional to 17,826 and 27,468

Step by Step Solution

1. Step 1: Write the proportion equation
   17,826 : 27,468 = 27,468 : x
2. Step 2: Convert to fraction form
   17,826/27,468 = 27,468/x
3. Step 3: Cross multiply
   17,826x = 27,468 × 27,468
4. Step 4: Simplify right side
   17,826x = 754,491,024
5. Step 5: Solve for x
   x = 754,491,024/17,826
6. Step 6: Final answer
   x = 42,325.31