Finding the Third Proportional to 17,588 and 41,519

Step by Step Solution

1. Step 1: Write the proportion equation
   17,588 : 41,519 = 41,519 : x
2. Step 2: Convert to fraction form
   17,588/41,519 = 41,519/x
3. Step 3: Cross multiply
   17,588x = 41,519 × 41,519
4. Step 4: Simplify right side
   17,588x = 1,723,827,361
5. Step 5: Solve for x
   x = 1,723,827,361/17,588
6. Step 6: Final answer
   x = 98,011.56