Finding the Third Proportional to 2,184.75 and 4,741.88

Step by Step Solution

1. Step 1: Write the proportion equation
   2,184.75 : 4,741.88 = 4,741.88 : x
2. Step 2: Convert to fraction form
   2,184.75/4,741.88 = 4,741.88/x
3. Step 3: Cross multiply
   2,184.75x = 4,741.88 × 4,741.88
4. Step 4: Simplify right side
   2,184.75x = 22,485,378.52
5. Step 5: Solve for x
   x = 22,485,378.52/2,184.75
6. Step 6: Final answer
   x = 10,291.97