Finding the Third Proportional to 8,002 and 14,870

Step by Step Solution

1. Step 1: Write the proportion equation
   8,002 : 14,870 = 14,870 : x
2. Step 2: Convert to fraction form
   8,002/14,870 = 14,870/x
3. Step 3: Cross multiply
   8,002x = 14,870 × 14,870
4. Step 4: Simplify right side
   8,002x = 221,116,900
5. Step 5: Solve for x
   x = 221,116,900/8,002
6. Step 6: Final answer
   x = 27,632.70