Finding the Third Proportional to 2,494.48 and 3,835.30

Step by Step Solution

1. Step 1: Write the proportion equation
   2,494.48 : 3,835.30 = 3,835.30 : x
2. Step 2: Convert to fraction form
   2,494.48/3,835.30 = 3,835.30/x
3. Step 3: Cross multiply
   2,494.48x = 3,835.30 × 3,835.30
4. Step 4: Simplify right side
   2,494.48x = 14,709,532.08
5. Step 5: Solve for x
   x = 14,709,532.08/2,494.48
6. Step 6: Final answer
   x = 5,896.84