Finding the Third Proportional to 2,784.38 and 5,923.13

Step by Step Solution

1. Step 1: Write the proportion equation
   2,784.38 : 5,923.13 = 5,923.13 : x
2. Step 2: Convert to fraction form
   2,784.38/5,923.13 = 5,923.13/x
3. Step 3: Cross multiply
   2,784.38x = 5,923.13 × 5,923.13
4. Step 4: Simplify right side
   2,784.38x = 35,083,409.77
5. Step 5: Solve for x
   x = 35,083,409.77/2,784.38
6. Step 6: Final answer
   x = 12,600.10