Finding the Third Proportional to 2,419.50 and 5,162.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,419.50 : 5,162.50 = 5,162.50 : x
2. Step 2: Convert to fraction form
   2,419.50/5,162.50 = 5,162.50/x
3. Step 3: Cross multiply
   2,419.50x = 5,162.50 × 5,162.50
4. Step 4: Simplify right side
   2,419.50x = 26,651,406.25
5. Step 5: Solve for x
   x = 26,651,406.25/2,419.50
6. Step 6: Final answer
   x = 11,015.25