Finding the Third Proportional to 13,822 and 21,620

Step by Step Solution

1. Step 1: Write the proportion equation
   13,822 : 21,620 = 21,620 : x
2. Step 2: Convert to fraction form
   13,822/21,620 = 21,620/x
3. Step 3: Cross multiply
   13,822x = 21,620 × 21,620
4. Step 4: Simplify right side
   13,822x = 467,424,400
5. Step 5: Solve for x
   x = 467,424,400/13,822
6. Step 6: Final answer
   x = 33,817.42