Finding the Third Proportional to 10,243.97 and 13,838.34

Step by Step Solution

1. Step 1: Write the proportion equation
   10,243.97 : 13,838.34 = 13,838.34 : x
2. Step 2: Convert to fraction form
   10,243.97/13,838.34 = 13,838.34/x
3. Step 3: Cross multiply
   10,243.97x = 13,838.34 × 13,838.34
4. Step 4: Simplify right side
   10,243.97x = 191,499,757.74
5. Step 5: Solve for x
   x = 191,499,757.74/10,243.97
6. Step 6: Final answer
   x = 18,693.90