Finding the Third Proportional to 3,834.86 and 5,625.98

Step by Step Solution

1. Step 1: Write the proportion equation
   3,834.86 : 5,625.98 = 5,625.98 : x
2. Step 2: Convert to fraction form
   3,834.86/5,625.98 = 5,625.98/x
3. Step 3: Cross multiply
   3,834.86x = 5,625.98 × 5,625.98
4. Step 4: Simplify right side
   3,834.86x = 31,651,700.19
5. Step 5: Solve for x
   x = 31,651,700.19/3,834.86
6. Step 6: Final answer
   x = 8,253.68