Finding the Third Proportional to 2,565 and 5,364

Step by Step Solution

1. Step 1: Write the proportion equation
   2,565 : 5,364 = 5,364 : x
2. Step 2: Convert to fraction form
   2,565/5,364 = 5,364/x
3. Step 3: Cross multiply
   2,565x = 5,364 × 5,364
4. Step 4: Simplify right side
   2,565x = 28,772,496
5. Step 5: Solve for x
   x = 28,772,496/2,565
6. Step 6: Final answer
   x = 11,217.35