Finding the Third Proportional to 5,631.75 and 8,111.25

Step by Step Solution

1. Step 1: Write the proportion equation
   5,631.75 : 8,111.25 = 8,111.25 : x
2. Step 2: Convert to fraction form
   5,631.75/8,111.25 = 8,111.25/x
3. Step 3: Cross multiply
   5,631.75x = 8,111.25 × 8,111.25
4. Step 4: Simplify right side
   5,631.75x = 65,792,376.56
5. Step 5: Solve for x
   x = 65,792,376.56/5,631.75
6. Step 6: Final answer
   x = 11,682.40