Finding the Third Proportional to 12,340 and 17,587

Step by Step Solution

1. Step 1: Write the proportion equation
   12,340 : 17,587 = 17,587 : x
2. Step 2: Convert to fraction form
   12,340/17,587 = 17,587/x
3. Step 3: Cross multiply
   12,340x = 17,587 × 17,587
4. Step 4: Simplify right side
   12,340x = 309,302,569
5. Step 5: Solve for x
   x = 309,302,569/12,340
6. Step 6: Final answer
   x = 25,065.04