Finding the Third Proportional to 10,590 and 12,846

Step by Step Solution

1. Step 1: Write the proportion equation
   10,590 : 12,846 = 12,846 : x
2. Step 2: Convert to fraction form
   10,590/12,846 = 12,846/x
3. Step 3: Cross multiply
   10,590x = 12,846 × 12,846
4. Step 4: Simplify right side
   10,590x = 165,019,716
5. Step 5: Solve for x
   x = 165,019,716/10,590
6. Step 6: Final answer
   x = 15,582.60