Finding the Third Proportional to 16,004 and 24,518

Step by Step Solution

1. Step 1: Write the proportion equation
   16,004 : 24,518 = 24,518 : x
2. Step 2: Convert to fraction form
   16,004/24,518 = 24,518/x
3. Step 3: Cross multiply
   16,004x = 24,518 × 24,518
4. Step 4: Simplify right side
   16,004x = 601,132,324
5. Step 5: Solve for x
   x = 601,132,324/16,004
6. Step 6: Final answer
   x = 37,561.38