Finding the Third Proportional to 11,594 and 17,446

Step by Step Solution

1. Step 1: Write the proportion equation
   11,594 : 17,446 = 17,446 : x
2. Step 2: Convert to fraction form
   11,594/17,446 = 17,446/x
3. Step 3: Cross multiply
   11,594x = 17,446 × 17,446
4. Step 4: Simplify right side
   11,594x = 304,362,916
5. Step 5: Solve for x
   x = 304,362,916/11,594
6. Step 6: Final answer
   x = 26,251.76