Finding the Third Proportional to 17,577 and 21,321

Step by Step Solution

1. Step 1: Write the proportion equation
   17,577 : 21,321 = 21,321 : x
2. Step 2: Convert to fraction form
   17,577/21,321 = 21,321/x
3. Step 3: Cross multiply
   17,577x = 21,321 × 21,321
4. Step 4: Simplify right side
   17,577x = 454,585,041
5. Step 5: Solve for x
   x = 454,585,041/17,577
6. Step 6: Final answer
   x = 25,862.49