Finding the Third Proportional to 10,161 and 13,486

Step by Step Solution

1. Step 1: Write the proportion equation
   10,161 : 13,486 = 13,486 : x
2. Step 2: Convert to fraction form
   10,161/13,486 = 13,486/x
3. Step 3: Cross multiply
   10,161x = 13,486 × 13,486
4. Step 4: Simplify right side
   10,161x = 181,872,196
5. Step 5: Solve for x
   x = 181,872,196/10,161
6. Step 6: Final answer
   x = 17,899.04