Finding the Third Proportional to 17,522 and 27,742

Step by Step Solution

1. Step 1: Write the proportion equation
   17,522 : 27,742 = 27,742 : x
2. Step 2: Convert to fraction form
   17,522/27,742 = 27,742/x
3. Step 3: Cross multiply
   17,522x = 27,742 × 27,742
4. Step 4: Simplify right side
   17,522x = 769,618,564
5. Step 5: Solve for x
   x = 769,618,564/17,522
6. Step 6: Final answer
   x = 43,922.99