Finding the Third Proportional to 11,685 and 18,123

Step by Step Solution

1. Step 1: Write the proportion equation
   11,685 : 18,123 = 18,123 : x
2. Step 2: Convert to fraction form
   11,685/18,123 = 18,123/x
3. Step 3: Cross multiply
   11,685x = 18,123 × 18,123
4. Step 4: Simplify right side
   11,685x = 328,443,129
5. Step 5: Solve for x
   x = 328,443,129/11,685
6. Step 6: Final answer
   x = 28,108.10