Finding the Third Proportional to 2,296.13 and 3,835.69

Step by Step Solution

1. Step 1: Write the proportion equation
   2,296.13 : 3,835.69 = 3,835.69 : x
2. Step 2: Convert to fraction form
   2,296.13/3,835.69 = 3,835.69/x
3. Step 3: Cross multiply
   2,296.13x = 3,835.69 × 3,835.69
4. Step 4: Simplify right side
   2,296.13x = 14,712,498.60
5. Step 5: Solve for x
   x = 14,712,498.60/2,296.13
6. Step 6: Final answer
   x = 6,407.53