Finding the Third Proportional to 2,506 and 5,336

Step by Step Solution

1. Step 1: Write the proportion equation
   2,506 : 5,336 = 5,336 : x
2. Step 2: Convert to fraction form
   2,506/5,336 = 5,336/x
3. Step 3: Cross multiply
   2,506x = 5,336 × 5,336
4. Step 4: Simplify right side
   2,506x = 28,472,896
5. Step 5: Solve for x
   x = 28,472,896/2,506
6. Step 6: Final answer
   x = 11,361.89