Finding the Third Proportional to 3,784.50 and 5,776.69

Step by Step Solution

1. Step 1: Write the proportion equation
   3,784.50 : 5,776.69 = 5,776.69 : x
2. Step 2: Convert to fraction form
   3,784.50/5,776.69 = 5,776.69/x
3. Step 3: Cross multiply
   3,784.50x = 5,776.69 × 5,776.69
4. Step 4: Simplify right side
   3,784.50x = 33,370,118.47
5. Step 5: Solve for x
   x = 33,370,118.47/3,784.50
6. Step 6: Final answer
   x = 8,817.58