Finding the Third Proportional to 3,837.94 and 5,630.06

Step by Step Solution

1. Step 1: Write the proportion equation
   3,837.94 : 5,630.06 = 5,630.06 : x
2. Step 2: Convert to fraction form
   3,837.94/5,630.06 = 5,630.06/x
3. Step 3: Cross multiply
   3,837.94x = 5,630.06 × 5,630.06
4. Step 4: Simplify right side
   3,837.94x = 31,697,603.75
5. Step 5: Solve for x
   x = 31,697,603.75/3,837.94
6. Step 6: Final answer
   x = 8,259.02