Finding the Third Proportional to 11,658 and 17,490

Step by Step Solution

1. Step 1: Write the proportion equation
   11,658 : 17,490 = 17,490 : x
2. Step 2: Convert to fraction form
   11,658/17,490 = 17,490/x
3. Step 3: Cross multiply
   11,658x = 17,490 × 17,490
4. Step 4: Simplify right side
   11,658x = 305,900,100
5. Step 5: Solve for x
   x = 305,900,100/11,658
6. Step 6: Final answer
   x = 26,239.50