Finding the Third Proportional to 2,272.50 and 4,833

Step by Step Solution

1. Step 1: Write the proportion equation
   2,272.50 : 4,833 = 4,833 : x
2. Step 2: Convert to fraction form
   2,272.50/4,833 = 4,833/x
3. Step 3: Cross multiply
   2,272.50x = 4,833 × 4,833
4. Step 4: Simplify right side
   2,272.50x = 23,357,889
5. Step 5: Solve for x
   x = 23,357,889/2,272.50
6. Step 6: Final answer
   x = 10,278.50