Finding the Third Proportional to 2,784 and 4,085.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,784 : 4,085.50 = 4,085.50 : x
2. Step 2: Convert to fraction form
   2,784/4,085.50 = 4,085.50/x
3. Step 3: Cross multiply
   2,784x = 4,085.50 × 4,085.50
4. Step 4: Simplify right side
   2,784x = 16,691,310.25
5. Step 5: Solve for x
   x = 16,691,310.25/2,784
6. Step 6: Final answer
   x = 5,995.44