Finding the Third Proportional to 2,784.38 and 4,311.98

Step by Step Solution

1. Step 1: Write the proportion equation
   2,784.38 : 4,311.98 = 4,311.98 : x
2. Step 2: Convert to fraction form
   2,784.38/4,311.98 = 4,311.98/x
3. Step 3: Cross multiply
   2,784.38x = 4,311.98 × 4,311.98
4. Step 4: Simplify right side
   2,784.38x = 18,593,209.25
5. Step 5: Solve for x
   x = 18,593,209.25/2,784.38
6. Step 6: Final answer
   x = 6,677.70