Finding the Third Proportional to 16,506 and 38,470

Step by Step Solution

1. Step 1: Write the proportion equation
   16,506 : 38,470 = 38,470 : x
2. Step 2: Convert to fraction form
   16,506/38,470 = 38,470/x
3. Step 3: Cross multiply
   16,506x = 38,470 × 38,470
4. Step 4: Simplify right side
   16,506x = 1,479,940,900
5. Step 5: Solve for x
   x = 1,479,940,900/16,506
6. Step 6: Final answer
   x = 89,660.78