Finding the Third Proportional to 6,210 and 12,838

Step by Step Solution

1. Step 1: Write the proportion equation
   6,210 : 12,838 = 12,838 : x
2. Step 2: Convert to fraction form
   6,210/12,838 = 12,838/x
3. Step 3: Cross multiply
   6,210x = 12,838 × 12,838
4. Step 4: Simplify right side
   6,210x = 164,814,244
5. Step 5: Solve for x
   x = 164,814,244/6,210
6. Step 6: Final answer
   x = 26,540.14