Finding the Third Proportional to 6,413 and 13,802

Step by Step Solution

1. Step 1: Write the proportion equation
   6,413 : 13,802 = 13,802 : x
2. Step 2: Convert to fraction form
   6,413/13,802 = 13,802/x
3. Step 3: Cross multiply
   6,413x = 13,802 × 13,802
4. Step 4: Simplify right side
   6,413x = 190,495,204
5. Step 5: Solve for x
   x = 190,495,204/6,413
6. Step 6: Final answer
   x = 29,704.54