Finding the Third Proportional to 11,606 and 17,464

Step by Step Solution

1. Step 1: Write the proportion equation
   11,606 : 17,464 = 17,464 : x
2. Step 2: Convert to fraction form
   11,606/17,464 = 17,464/x
3. Step 3: Cross multiply
   11,606x = 17,464 × 17,464
4. Step 4: Simplify right side
   11,606x = 304,991,296
5. Step 5: Solve for x
   x = 304,991,296/11,606
6. Step 6: Final answer
   x = 26,278.76