Finding the Third Proportional to 11,789 and 17,463

Step by Step Solution

1. Step 1: Write the proportion equation
   11,789 : 17,463 = 17,463 : x
2. Step 2: Convert to fraction form
   11,789/17,463 = 17,463/x
3. Step 3: Cross multiply
   11,789x = 17,463 × 17,463
4. Step 4: Simplify right side
   11,789x = 304,956,369
5. Step 5: Solve for x
   x = 304,956,369/11,789
6. Step 6: Final answer
   x = 25,867.87