Finding the Third Proportional to 10,822 and 14,470

Step by Step Solution

1. Step 1: Write the proportion equation
   10,822 : 14,470 = 14,470 : x
2. Step 2: Convert to fraction form
   10,822/14,470 = 14,470/x
3. Step 3: Cross multiply
   10,822x = 14,470 × 14,470
4. Step 4: Simplify right side
   10,822x = 209,380,900
5. Step 5: Solve for x
   x = 209,380,900/10,822
6. Step 6: Final answer
   x = 19,347.71