Finding the Third Proportional to 5,420.75 and 8,085.25

Step by Step Solution

1. Step 1: Write the proportion equation
   5,420.75 : 8,085.25 = 8,085.25 : x
2. Step 2: Convert to fraction form
   5,420.75/8,085.25 = 8,085.25/x
3. Step 3: Cross multiply
   5,420.75x = 8,085.25 × 8,085.25
4. Step 4: Simplify right side
   5,420.75x = 65,371,267.56
5. Step 5: Solve for x
   x = 65,371,267.56/5,420.75
6. Step 6: Final answer
   x = 12,059.45