Finding the Third Proportional to 16,152 and 24,576

Step by Step Solution

1. Step 1: Write the proportion equation
   16,152 : 24,576 = 24,576 : x
2. Step 2: Convert to fraction form
   16,152/24,576 = 24,576/x
3. Step 3: Cross multiply
   16,152x = 24,576 × 24,576
4. Step 4: Simplify right side
   16,152x = 603,979,776
5. Step 5: Solve for x
   x = 603,979,776/16,152
6. Step 6: Final answer
   x = 37,393.50