Finding the Third Proportional to 16,506 and 25,200

Step by Step Solution

1. Step 1: Write the proportion equation
   16,506 : 25,200 = 25,200 : x
2. Step 2: Convert to fraction form
   16,506/25,200 = 25,200/x
3. Step 3: Cross multiply
   16,506x = 25,200 × 25,200
4. Step 4: Simplify right side
   16,506x = 635,040,000
5. Step 5: Solve for x
   x = 635,040,000/16,506
6. Step 6: Final answer
   x = 38,473.28