Finding the Third Proportional to 10,294 and 13,753

Step by Step Solution

1. Step 1: Write the proportion equation
   10,294 : 13,753 = 13,753 : x
2. Step 2: Convert to fraction form
   10,294/13,753 = 13,753/x
3. Step 3: Cross multiply
   10,294x = 13,753 × 13,753
4. Step 4: Simplify right side
   10,294x = 189,145,009
5. Step 5: Solve for x
   x = 189,145,009/10,294
6. Step 6: Final answer
   x = 18,374.30