Finding the Third Proportional to 5,792 and 12,506

Step by Step Solution

1. Step 1: Write the proportion equation
   5,792 : 12,506 = 12,506 : x
2. Step 2: Convert to fraction form
   5,792/12,506 = 12,506/x
3. Step 3: Cross multiply
   5,792x = 12,506 × 12,506
4. Step 4: Simplify right side
   5,792x = 156,400,036
5. Step 5: Solve for x
   x = 156,400,036/5,792
6. Step 6: Final answer
   x = 27,002.77