Finding the Third Proportional to 17,822 and 27,706

Step by Step Solution

1. Step 1: Write the proportion equation
   17,822 : 27,706 = 27,706 : x
2. Step 2: Convert to fraction form
   17,822/27,706 = 27,706/x
3. Step 3: Cross multiply
   17,822x = 27,706 × 27,706
4. Step 4: Simplify right side
   17,822x = 767,622,436
5. Step 5: Solve for x
   x = 767,622,436/17,822
6. Step 6: Final answer
   x = 43,071.62