Finding the Third Proportional to 2,180.04 and 4,762.55

Step by Step Solution

1. Step 1: Write the proportion equation
   2,180.04 : 4,762.55 = 4,762.55 : x
2. Step 2: Convert to fraction form
   2,180.04/4,762.55 = 4,762.55/x
3. Step 3: Cross multiply
   2,180.04x = 4,762.55 × 4,762.55
4. Step 4: Simplify right side
   2,180.04x = 22,681,852.74
5. Step 5: Solve for x
   x = 22,681,852.74/2,180.04
6. Step 6: Final answer
   x = 10,404.33