Finding the Third Proportional to 9,796 and 13,574

Step by Step Solution

1. Step 1: Write the proportion equation
   9,796 : 13,574 = 13,574 : x
2. Step 2: Convert to fraction form
   9,796/13,574 = 13,574/x
3. Step 3: Cross multiply
   9,796x = 13,574 × 13,574
4. Step 4: Simplify right side
   9,796x = 184,253,476
5. Step 5: Solve for x
   x = 184,253,476/9,796
6. Step 6: Final answer
   x = 18,809.05