Finding the Third Proportional to 6,502.78 and 10,289.53

Step by Step Solution

1. Step 1: Write the proportion equation
   6,502.78 : 10,289.53 = 10,289.53 : x
2. Step 2: Convert to fraction form
   6,502.78/10,289.53 = 10,289.53/x
3. Step 3: Cross multiply
   6,502.78x = 10,289.53 × 10,289.53
4. Step 4: Simplify right side
   6,502.78x = 105,874,453.34
5. Step 5: Solve for x
   x = 105,874,453.34/6,502.78
6. Step 6: Final answer
   x = 16,281.41