Finding the Third Proportional to 10,268 and 13,534

Step by Step Solution

1. Step 1: Write the proportion equation
   10,268 : 13,534 = 13,534 : x
2. Step 2: Convert to fraction form
   10,268/13,534 = 13,534/x
3. Step 3: Cross multiply
   10,268x = 13,534 × 13,534
4. Step 4: Simplify right side
   10,268x = 183,169,156
5. Step 5: Solve for x
   x = 183,169,156/10,268
6. Step 6: Final answer
   x = 17,838.83