Finding the Third Proportional to 6,123 and 13,518

Step by Step Solution

1. Step 1: Write the proportion equation
   6,123 : 13,518 = 13,518 : x
2. Step 2: Convert to fraction form
   6,123/13,518 = 13,518/x
3. Step 3: Cross multiply
   6,123x = 13,518 × 13,518
4. Step 4: Simplify right side
   6,123x = 182,736,324
5. Step 5: Solve for x
   x = 182,736,324/6,123
6. Step 6: Final answer
   x = 29,844.25