Finding the Third Proportional to 10,788 and 13,846

Step by Step Solution

1. Step 1: Write the proportion equation
   10,788 : 13,846 = 13,846 : x
2. Step 2: Convert to fraction form
   10,788/13,846 = 13,846/x
3. Step 3: Cross multiply
   10,788x = 13,846 × 13,846
4. Step 4: Simplify right side
   10,788x = 191,711,716
5. Step 5: Solve for x
   x = 191,711,716/10,788
6. Step 6: Final answer
   x = 17,770.83