Finding the Third Proportional to 2,392 and 5,627

Step by Step Solution

1. Step 1: Write the proportion equation
   2,392 : 5,627 = 5,627 : x
2. Step 2: Convert to fraction form
   2,392/5,627 = 5,627/x
3. Step 3: Cross multiply
   2,392x = 5,627 × 5,627
4. Step 4: Simplify right side
   2,392x = 31,663,129
5. Step 5: Solve for x
   x = 31,663,129/2,392
6. Step 6: Final answer
   x = 13,237.09