Finding the Third Proportional to 2,182 and 4,752.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,182 : 4,752.50 = 4,752.50 : x
2. Step 2: Convert to fraction form
   2,182/4,752.50 = 4,752.50/x
3. Step 3: Cross multiply
   2,182x = 4,752.50 × 4,752.50
4. Step 4: Simplify right side
   2,182x = 22,586,256.25
5. Step 5: Solve for x
   x = 22,586,256.25/2,182
6. Step 6: Final answer
   x = 10,351.17