Finding the Third Proportional to 2,847 and 6,499.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,847 : 6,499.50 = 6,499.50 : x
2. Step 2: Convert to fraction form
   2,847/6,499.50 = 6,499.50/x
3. Step 3: Cross multiply
   2,847x = 6,499.50 × 6,499.50
4. Step 4: Simplify right side
   2,847x = 42,243,500.25
5. Step 5: Solve for x
   x = 42,243,500.25/2,847
6. Step 6: Final answer
   x = 14,837.90