Finding the Third Proportional to 6,323 and 13,816

Step by Step Solution

1. Step 1: Write the proportion equation
   6,323 : 13,816 = 13,816 : x
2. Step 2: Convert to fraction form
   6,323/13,816 = 13,816/x
3. Step 3: Cross multiply
   6,323x = 13,816 × 13,816
4. Step 4: Simplify right side
   6,323x = 190,881,856
5. Step 5: Solve for x
   x = 190,881,856/6,323
6. Step 6: Final answer
   x = 30,188.50