Finding the Third Proportional to 9,588 and 17,124

Step by Step Solution

1. Step 1: Write the proportion equation
   9,588 : 17,124 = 17,124 : x
2. Step 2: Convert to fraction form
   9,588/17,124 = 17,124/x
3. Step 3: Cross multiply
   9,588x = 17,124 × 17,124
4. Step 4: Simplify right side
   9,588x = 293,231,376
5. Step 5: Solve for x
   x = 293,231,376/9,588
6. Step 6: Final answer
   x = 30,583.16