Finding the Third Proportional to 6,123 and 14,385

Step by Step Solution

1. Step 1: Write the proportion equation
   6,123 : 14,385 = 14,385 : x
2. Step 2: Convert to fraction form
   6,123/14,385 = 14,385/x
3. Step 3: Cross multiply
   6,123x = 14,385 × 14,385
4. Step 4: Simplify right side
   6,123x = 206,928,225
5. Step 5: Solve for x
   x = 206,928,225/6,123
6. Step 6: Final answer
   x = 33,795.24