Finding the Third Proportional to 2,152 and 5,140

Step by Step Solution

1. Step 1: Write the proportion equation
   2,152 : 5,140 = 5,140 : x
2. Step 2: Convert to fraction form
   2,152/5,140 = 5,140/x
3. Step 3: Cross multiply
   2,152x = 5,140 × 5,140
4. Step 4: Simplify right side
   2,152x = 26,419,600
5. Step 5: Solve for x
   x = 26,419,600/2,152
6. Step 6: Final answer
   x = 12,276.77