Finding the Third Proportional to 11,758 and 13,846

Step by Step Solution

1. Step 1: Write the proportion equation
   11,758 : 13,846 = 13,846 : x
2. Step 2: Convert to fraction form
   11,758/13,846 = 13,846/x
3. Step 3: Cross multiply
   11,758x = 13,846 × 13,846
4. Step 4: Simplify right side
   11,758x = 191,711,716
5. Step 5: Solve for x
   x = 191,711,716/11,758
6. Step 6: Final answer
   x = 16,304.79