Finding the Third Proportional to 11,413 and 17,587

Step by Step Solution

1. Step 1: Write the proportion equation
   11,413 : 17,587 = 17,587 : x
2. Step 2: Convert to fraction form
   11,413/17,587 = 17,587/x
3. Step 3: Cross multiply
   11,413x = 17,587 × 17,587
4. Step 4: Simplify right side
   11,413x = 309,302,569
5. Step 5: Solve for x
   x = 309,302,569/11,413
6. Step 6: Final answer
   x = 27,100.90