Finding the Third Proportional to 6,413 and 13,822

Step by Step Solution

1. Step 1: Write the proportion equation
   6,413 : 13,822 = 13,822 : x
2. Step 2: Convert to fraction form
   6,413/13,822 = 13,822/x
3. Step 3: Cross multiply
   6,413x = 13,822 × 13,822
4. Step 4: Simplify right side
   6,413x = 191,047,684
5. Step 5: Solve for x
   x = 191,047,684/6,413
6. Step 6: Final answer
   x = 29,790.69