Finding the Third Proportional to 5,833 and 8,499.50

Step by Step Solution

1. Step 1: Write the proportion equation
   5,833 : 8,499.50 = 8,499.50 : x
2. Step 2: Convert to fraction form
   5,833/8,499.50 = 8,499.50/x
3. Step 3: Cross multiply
   5,833x = 8,499.50 × 8,499.50
4. Step 4: Simplify right side
   5,833x = 72,241,500.25
5. Step 5: Solve for x
   x = 72,241,500.25/5,833
6. Step 6: Final answer
   x = 12,384.96