Finding the Third Proportional to 3,792 and 5,056.88

Step by Step Solution

1. Step 1: Write the proportion equation
   3,792 : 5,056.88 = 5,056.88 : x
2. Step 2: Convert to fraction form
   3,792/5,056.88 = 5,056.88/x
3. Step 3: Cross multiply
   3,792x = 5,056.88 × 5,056.88
4. Step 4: Simplify right side
   3,792x = 25,571,984.77
5. Step 5: Solve for x
   x = 25,571,984.77/3,792
6. Step 6: Final answer
   x = 6,743.67