Finding the Third Proportional to 13,085 and 17,413

Step by Step Solution

1. Step 1: Write the proportion equation
   13,085 : 17,413 = 17,413 : x
2. Step 2: Convert to fraction form
   13,085/17,413 = 17,413/x
3. Step 3: Cross multiply
   13,085x = 17,413 × 17,413
4. Step 4: Simplify right side
   13,085x = 303,212,569
5. Step 5: Solve for x
   x = 303,212,569/13,085
6. Step 6: Final answer
   x = 23,172.53