Finding the Third Proportional to 6,361 and 12,194

Step by Step Solution

1. Step 1: Write the proportion equation
   6,361 : 12,194 = 12,194 : x
2. Step 2: Convert to fraction form
   6,361/12,194 = 12,194/x
3. Step 3: Cross multiply
   6,361x = 12,194 × 12,194
4. Step 4: Simplify right side
   6,361x = 148,693,636
5. Step 5: Solve for x
   x = 148,693,636/6,361
6. Step 6: Final answer
   x = 23,375.83