Finding the Third Proportional to 17,638 and 27,321

Step by Step Solution

1. Step 1: Write the proportion equation
   17,638 : 27,321 = 27,321 : x
2. Step 2: Convert to fraction form
   17,638/27,321 = 27,321/x
3. Step 3: Cross multiply
   17,638x = 27,321 × 27,321
4. Step 4: Simplify right side
   17,638x = 746,437,041
5. Step 5: Solve for x
   x = 746,437,041/17,638
6. Step 6: Final answer
   x = 42,319.82