Finding the Third Proportional to 5,012.25 and 7,607.25

Step by Step Solution

1. Step 1: Write the proportion equation
   5,012.25 : 7,607.25 = 7,607.25 : x
2. Step 2: Convert to fraction form
   5,012.25/7,607.25 = 7,607.25/x
3. Step 3: Cross multiply
   5,012.25x = 7,607.25 × 7,607.25
4. Step 4: Simplify right side
   5,012.25x = 57,870,252.56
5. Step 5: Solve for x
   x = 57,870,252.56/5,012.25
6. Step 6: Final answer
   x = 11,545.76