Finding the Third Proportional to 2,174.63 and 4,741.88

Step by Step Solution

1. Step 1: Write the proportion equation
   2,174.63 : 4,741.88 = 4,741.88 : x
2. Step 2: Convert to fraction form
   2,174.63/4,741.88 = 4,741.88/x
3. Step 3: Cross multiply
   2,174.63x = 4,741.88 × 4,741.88
4. Step 4: Simplify right side
   2,174.63x = 22,485,378.52
5. Step 5: Solve for x
   x = 22,485,378.52/2,174.63
6. Step 6: Final answer
   x = 10,339.89