Finding the Third Proportional to 10,364 and 16,500

Step by Step Solution

1. Step 1: Write the proportion equation
   10,364 : 16,500 = 16,500 : x
2. Step 2: Convert to fraction form
   10,364/16,500 = 16,500/x
3. Step 3: Cross multiply
   10,364x = 16,500 × 16,500
4. Step 4: Simplify right side
   10,364x = 272,250,000
5. Step 5: Solve for x
   x = 272,250,000/10,364
6. Step 6: Final answer
   x = 26,268.82