Finding the Third Proportional to 6,822 and 14,870

Step by Step Solution

1. Step 1: Write the proportion equation
   6,822 : 14,870 = 14,870 : x
2. Step 2: Convert to fraction form
   6,822/14,870 = 14,870/x
3. Step 3: Cross multiply
   6,822x = 14,870 × 14,870
4. Step 4: Simplify right side
   6,822x = 221,116,900
5. Step 5: Solve for x
   x = 221,116,900/6,822
6. Step 6: Final answer
   x = 32,412.33