Finding the Third Proportional to 5,651.81 and 8,314.37

Step by Step Solution

1. Step 1: Write the proportion equation
   5,651.81 : 8,314.37 = 8,314.37 : x
2. Step 2: Convert to fraction form
   5,651.81/8,314.37 = 8,314.37/x
3. Step 3: Cross multiply
   5,651.81x = 8,314.37 × 8,314.37
4. Step 4: Simplify right side
   5,651.81x = 69,128,669.25
5. Step 5: Solve for x
   x = 69,128,669.25/5,651.81
6. Step 6: Final answer
   x = 12,231.25