Finding the Third Proportional to 5,180 and 12,023

Step by Step Solution

1. Step 1: Write the proportion equation
   5,180 : 12,023 = 12,023 : x
2. Step 2: Convert to fraction form
   5,180/12,023 = 12,023/x
3. Step 3: Cross multiply
   5,180x = 12,023 × 12,023
4. Step 4: Simplify right side
   5,180x = 144,552,529
5. Step 5: Solve for x
   x = 144,552,529/5,180
6. Step 6: Final answer
   x = 27,905.89