Finding the Third Proportional to 2,180.53 and 4,732.59

Step by Step Solution

1. Step 1: Write the proportion equation
   2,180.53 : 4,732.59 = 4,732.59 : x
2. Step 2: Convert to fraction form
   2,180.53/4,732.59 = 4,732.59/x
3. Step 3: Cross multiply
   2,180.53x = 4,732.59 × 4,732.59
4. Step 4: Simplify right side
   2,180.53x = 22,397,443.60
5. Step 5: Solve for x
   x = 22,397,443.60/2,180.53
6. Step 6: Final answer
   x = 10,271.55