Finding the Third Proportional to 3,784 and 8,085.50

Step by Step Solution

1. Step 1: Write the proportion equation
   3,784 : 8,085.50 = 8,085.50 : x
2. Step 2: Convert to fraction form
   3,784/8,085.50 = 8,085.50/x
3. Step 3: Cross multiply
   3,784x = 8,085.50 × 8,085.50
4. Step 4: Simplify right side
   3,784x = 65,375,310.25
5. Step 5: Solve for x
   x = 65,375,310.25/3,784
6. Step 6: Final answer
   x = 17,276.77