Finding the Third Proportional to 2,352 and 5,109

Step by Step Solution

1. Step 1: Write the proportion equation
   2,352 : 5,109 = 5,109 : x
2. Step 2: Convert to fraction form
   2,352/5,109 = 5,109/x
3. Step 3: Cross multiply
   2,352x = 5,109 × 5,109
4. Step 4: Simplify right side
   2,352x = 26,101,881
5. Step 5: Solve for x
   x = 26,101,881/2,352
6. Step 6: Final answer
   x = 11,097.74