Finding the Third Proportional to 5,019.75 and 7,511.63

Step by Step Solution

1. Step 1: Write the proportion equation
   5,019.75 : 7,511.63 = 7,511.63 : x
2. Step 2: Convert to fraction form
   5,019.75/7,511.63 = 7,511.63/x
3. Step 3: Cross multiply
   5,019.75x = 7,511.63 × 7,511.63
4. Step 4: Simplify right side
   5,019.75x = 56,424,510.14
5. Step 5: Solve for x
   x = 56,424,510.14/5,019.75
6. Step 6: Final answer
   x = 11,240.50