Finding the Third Proportional to 5,409.75 and 7,601.25

Step by Step Solution

1. Step 1: Write the proportion equation
   5,409.75 : 7,601.25 = 7,601.25 : x
2. Step 2: Convert to fraction form
   5,409.75/7,601.25 = 7,601.25/x
3. Step 3: Cross multiply
   5,409.75x = 7,601.25 × 7,601.25
4. Step 4: Simplify right side
   5,409.75x = 57,779,001.56
5. Step 5: Solve for x
   x = 57,779,001.56/5,409.75
6. Step 6: Final answer
   x = 10,680.53