Finding the Third Proportional to 11,637 and 17,799

Step by Step Solution

1. Step 1: Write the proportion equation
   11,637 : 17,799 = 17,799 : x
2. Step 2: Convert to fraction form
   11,637/17,799 = 17,799/x
3. Step 3: Cross multiply
   11,637x = 17,799 × 17,799
4. Step 4: Simplify right side
   11,637x = 316,804,401
5. Step 5: Solve for x
   x = 316,804,401/11,637
6. Step 6: Final answer
   x = 27,223.89