Finding the Third Proportional to 4,519 and 10,557.50

Step by Step Solution

1. Step 1: Write the proportion equation
   4,519 : 10,557.50 = 10,557.50 : x
2. Step 2: Convert to fraction form
   4,519/10,557.50 = 10,557.50/x
3. Step 3: Cross multiply
   4,519x = 10,557.50 × 10,557.50
4. Step 4: Simplify right side
   4,519x = 111,460,806.25
5. Step 5: Solve for x
   x = 111,460,806.25/4,519
6. Step 6: Final answer
   x = 24,664.93