Finding the Third Proportional to 10,833 and 16,250

Step by Step Solution

1. Step 1: Write the proportion equation
   10,833 : 16,250 = 16,250 : x
2. Step 2: Convert to fraction form
   10,833/16,250 = 16,250/x
3. Step 3: Cross multiply
   10,833x = 16,250 × 16,250
4. Step 4: Simplify right side
   10,833x = 264,062,500
5. Step 5: Solve for x
   x = 264,062,500/10,833
6. Step 6: Final answer
   x = 24,375.75