Finding the Third Proportional to 5,015.50 and 7,523.50

Step by Step Solution

1. Step 1: Write the proportion equation
   5,015.50 : 7,523.50 = 7,523.50 : x
2. Step 2: Convert to fraction form
   5,015.50/7,523.50 = 7,523.50/x
3. Step 3: Cross multiply
   5,015.50x = 7,523.50 × 7,523.50
4. Step 4: Simplify right side
   5,015.50x = 56,603,052.25
5. Step 5: Solve for x
   x = 56,603,052.25/5,015.50
6. Step 6: Final answer
   x = 11,285.63