Finding the Third Proportional to 2,506 and 5,188

Step by Step Solution

1. Step 1: Write the proportion equation
   2,506 : 5,188 = 5,188 : x
2. Step 2: Convert to fraction form
   2,506/5,188 = 5,188/x
3. Step 3: Cross multiply
   2,506x = 5,188 × 5,188
4. Step 4: Simplify right side
   2,506x = 26,915,344
5. Step 5: Solve for x
   x = 26,915,344/2,506
6. Step 6: Final answer
   x = 10,740.36