Finding the Third Proportional to 2,225.91 and 4,760.63

Step by Step Solution

1. Step 1: Write the proportion equation
   2,225.91 : 4,760.63 = 4,760.63 : x
2. Step 2: Convert to fraction form
   2,225.91/4,760.63 = 4,760.63/x
3. Step 3: Cross multiply
   2,225.91x = 4,760.63 × 4,760.63
4. Step 4: Simplify right side
   2,225.91x = 22,663,550.39
5. Step 5: Solve for x
   x = 22,663,550.39/2,225.91
6. Step 6: Final answer
   x = 10,181.72