Finding the Third Proportional to 9,402 and 16,500

Step by Step Solution

1. Step 1: Write the proportion equation
   9,402 : 16,500 = 16,500 : x
2. Step 2: Convert to fraction form
   9,402/16,500 = 16,500/x
3. Step 3: Cross multiply
   9,402x = 16,500 × 16,500
4. Step 4: Simplify right side
   9,402x = 272,250,000
5. Step 5: Solve for x
   x = 272,250,000/9,402
6. Step 6: Final answer
   x = 28,956.60