Finding the Third Proportional to 16,182 and 24,588

Step by Step Solution

1. Step 1: Write the proportion equation
   16,182 : 24,588 = 24,588 : x
2. Step 2: Convert to fraction form
   16,182/24,588 = 24,588/x
3. Step 3: Cross multiply
   16,182x = 24,588 × 24,588
4. Step 4: Simplify right side
   16,182x = 604,569,744
5. Step 5: Solve for x
   x = 604,569,744/16,182
6. Step 6: Final answer
   x = 37,360.63