Finding the Third Proportional to 2,782.13 and 3,693.38

Step by Step Solution

1. Step 1: Write the proportion equation
   2,782.13 : 3,693.38 = 3,693.38 : x
2. Step 2: Convert to fraction form
   2,782.13/3,693.38 = 3,693.38/x
3. Step 3: Cross multiply
   2,782.13x = 3,693.38 × 3,693.38
4. Step 4: Simplify right side
   2,782.13x = 13,641,018.89
5. Step 5: Solve for x
   x = 13,641,018.89/2,782.13
6. Step 6: Final answer
   x = 4,903.09