Finding the Third Proportional to 3,010.50 and 5,314.78

Step by Step Solution

1. Step 1: Write the proportion equation
   3,010.50 : 5,314.78 = 5,314.78 : x
2. Step 2: Convert to fraction form
   3,010.50/5,314.78 = 5,314.78/x
3. Step 3: Cross multiply
   3,010.50x = 5,314.78 × 5,314.78
4. Step 4: Simplify right side
   3,010.50x = 28,246,899.74
5. Step 5: Solve for x
   x = 28,246,899.74/3,010.50
6. Step 6: Final answer
   x = 9,382.79