Finding the Third Proportional to 10,160 and 13,496

Step by Step Solution

1. Step 1: Write the proportion equation
   10,160 : 13,496 = 13,496 : x
2. Step 2: Convert to fraction form
   10,160/13,496 = 13,496/x
3. Step 3: Cross multiply
   10,160x = 13,496 × 13,496
4. Step 4: Simplify right side
   10,160x = 182,142,016
5. Step 5: Solve for x
   x = 182,142,016/10,160
6. Step 6: Final answer
   x = 17,927.36