Finding the Third Proportional to 7,744 and 10,194

Step by Step Solution

1. Step 1: Write the proportion equation
   7,744 : 10,194 = 10,194 : x
2. Step 2: Convert to fraction form
   7,744/10,194 = 10,194/x
3. Step 3: Cross multiply
   7,744x = 10,194 × 10,194
4. Step 4: Simplify right side
   7,744x = 103,917,636
5. Step 5: Solve for x
   x = 103,917,636/7,744
6. Step 6: Final answer
   x = 13,419.12