Finding the Third Proportional to 16,210 and 38,165

Step by Step Solution

1. Step 1: Write the proportion equation
   16,210 : 38,165 = 38,165 : x
2. Step 2: Convert to fraction form
   16,210/38,165 = 38,165/x
3. Step 3: Cross multiply
   16,210x = 38,165 × 38,165
4. Step 4: Simplify right side
   16,210x = 1,456,567,225
5. Step 5: Solve for x
   x = 1,456,567,225/16,210
6. Step 6: Final answer
   x = 89,856.09