Finding the Third Proportional to 6,114 and 10,413

Step by Step Solution

1. Step 1: Write the proportion equation
   6,114 : 10,413 = 10,413 : x
2. Step 2: Convert to fraction form
   6,114/10,413 = 10,413/x
3. Step 3: Cross multiply
   6,114x = 10,413 × 10,413
4. Step 4: Simplify right side
   6,114x = 108,430,569
5. Step 5: Solve for x
   x = 108,430,569/6,114
6. Step 6: Final answer
   x = 17,734.80