Finding the Third Proportional to 2,848.50 and 5,923.75

Step by Step Solution

1. Step 1: Write the proportion equation
   2,848.50 : 5,923.75 = 5,923.75 : x
2. Step 2: Convert to fraction form
   2,848.50/5,923.75 = 5,923.75/x
3. Step 3: Cross multiply
   2,848.50x = 5,923.75 × 5,923.75
4. Step 4: Simplify right side
   2,848.50x = 35,090,814.06
5. Step 5: Solve for x
   x = 35,090,814.06/2,848.50
6. Step 6: Final answer
   x = 12,319.05