Finding the Third Proportional to 10,596 and 12,084

Step by Step Solution

1. Step 1: Write the proportion equation
   10,596 : 12,084 = 12,084 : x
2. Step 2: Convert to fraction form
   10,596/12,084 = 12,084/x
3. Step 3: Cross multiply
   10,596x = 12,084 × 12,084
4. Step 4: Simplify right side
   10,596x = 146,023,056
5. Step 5: Solve for x
   x = 146,023,056/10,596
6. Step 6: Final answer
   x = 13,780.96