Finding the Third Proportional to 3,784.50 and 5,857.88

Step by Step Solution

1. Step 1: Write the proportion equation
   3,784.50 : 5,857.88 = 5,857.88 : x
2. Step 2: Convert to fraction form
   3,784.50/5,857.88 = 5,857.88/x
3. Step 3: Cross multiply
   3,784.50x = 5,857.88 × 5,857.88
4. Step 4: Simplify right side
   3,784.50x = 34,314,699.52
5. Step 5: Solve for x
   x = 34,314,699.52/3,784.50
6. Step 6: Final answer
   x = 9,067.17