Finding the Third Proportional to 1,648.69 and 3,784.22

Step by Step Solution

1. Step 1: Write the proportion equation
   1,648.69 : 3,784.22 = 3,784.22 : x
2. Step 2: Convert to fraction form
   1,648.69/3,784.22 = 3,784.22/x
3. Step 3: Cross multiply
   1,648.69x = 3,784.22 × 3,784.22
4. Step 4: Simplify right side
   1,648.69x = 14,320,311.55
5. Step 5: Solve for x
   x = 14,320,311.55/1,648.69
6. Step 6: Final answer
   x = 8,685.89