Finding the Third Proportional to 6,194 and 12,822

Step by Step Solution

1. Step 1: Write the proportion equation
   6,194 : 12,822 = 12,822 : x
2. Step 2: Convert to fraction form
   6,194/12,822 = 12,822/x
3. Step 3: Cross multiply
   6,194x = 12,822 × 12,822
4. Step 4: Simplify right side
   6,194x = 164,403,684
5. Step 5: Solve for x
   x = 164,403,684/6,194
6. Step 6: Final answer
   x = 26,542.41