Finding the Third Proportional to 11,659 and 17,445

Step by Step Solution

1. Step 1: Write the proportion equation
   11,659 : 17,445 = 17,445 : x
2. Step 2: Convert to fraction form
   11,659/17,445 = 17,445/x
3. Step 3: Cross multiply
   11,659x = 17,445 × 17,445
4. Step 4: Simplify right side
   11,659x = 304,328,025
5. Step 5: Solve for x
   x = 304,328,025/11,659
6. Step 6: Final answer
   x = 26,102.41