Finding the Third Proportional to 2,835.84 and 3,685.92

Step by Step Solution

1. Step 1: Write the proportion equation
   2,835.84 : 3,685.92 = 3,685.92 : x
2. Step 2: Convert to fraction form
   2,835.84/3,685.92 = 3,685.92/x
3. Step 3: Cross multiply
   2,835.84x = 3,685.92 × 3,685.92
4. Step 4: Simplify right side
   2,835.84x = 13,586,020.07
5. Step 5: Solve for x
   x = 13,586,020.07/2,835.84
6. Step 6: Final answer
   x = 4,790.82