Finding the Third Proportional to 6,488.50 and 9,814.50

Step by Step Solution

1. Step 1: Write the proportion equation
   6,488.50 : 9,814.50 = 9,814.50 : x
2. Step 2: Convert to fraction form
   6,488.50/9,814.50 = 9,814.50/x
3. Step 3: Cross multiply
   6,488.50x = 9,814.50 × 9,814.50
4. Step 4: Simplify right side
   6,488.50x = 96,324,410.25
5. Step 5: Solve for x
   x = 96,324,410.25/6,488.50
6. Step 6: Final answer
   x = 14,845.40