Finding the Third Proportional to 3,747.52 and 5,878.83

Step by Step Solution

1. Step 1: Write the proportion equation
   3,747.52 : 5,878.83 = 5,878.83 : x
2. Step 2: Convert to fraction form
   3,747.52/5,878.83 = 5,878.83/x
3. Step 3: Cross multiply
   3,747.52x = 5,878.83 × 5,878.83
4. Step 4: Simplify right side
   3,747.52x = 34,560,620.12
5. Step 5: Solve for x
   x = 34,560,620.12/3,747.52
6. Step 6: Final answer
   x = 9,222.28