Finding the Third Proportional to 12,822 and 20,071

Step by Step Solution

1. Step 1: Write the proportion equation
   12,822 : 20,071 = 20,071 : x
2. Step 2: Convert to fraction form
   12,822/20,071 = 20,071/x
3. Step 3: Cross multiply
   12,822x = 20,071 × 20,071
4. Step 4: Simplify right side
   12,822x = 402,845,041
5. Step 5: Solve for x
   x = 402,845,041/12,822
6. Step 6: Final answer
   x = 31,418.27