Finding the Third Proportional to 10,183 and 13,421

Step by Step Solution

1. Step 1: Write the proportion equation
   10,183 : 13,421 = 13,421 : x
2. Step 2: Convert to fraction form
   10,183/13,421 = 13,421/x
3. Step 3: Cross multiply
   10,183x = 13,421 × 13,421
4. Step 4: Simplify right side
   10,183x = 180,123,241
5. Step 5: Solve for x
   x = 180,123,241/10,183
6. Step 6: Final answer
   x = 17,688.62