Finding the Third Proportional to 16,584 and 25,116

Step by Step Solution

1. Step 1: Write the proportion equation
   16,584 : 25,116 = 25,116 : x
2. Step 2: Convert to fraction form
   16,584/25,116 = 25,116/x
3. Step 3: Cross multiply
   16,584x = 25,116 × 25,116
4. Step 4: Simplify right side
   16,584x = 630,813,456
5. Step 5: Solve for x
   x = 630,813,456/16,584
6. Step 6: Final answer
   x = 38,037.47