Finding the Third Proportional to 10,948 and 16,846

Step by Step Solution

1. Step 1: Write the proportion equation
   10,948 : 16,846 = 16,846 : x
2. Step 2: Convert to fraction form
   10,948/16,846 = 16,846/x
3. Step 3: Cross multiply
   10,948x = 16,846 × 16,846
4. Step 4: Simplify right side
   10,948x = 283,787,716
5. Step 5: Solve for x
   x = 283,787,716/10,948
6. Step 6: Final answer
   x = 25,921.42