Finding the Third Proportional to 4,509 and 10,462.50

Step by Step Solution

1. Step 1: Write the proportion equation
   4,509 : 10,462.50 = 10,462.50 : x
2. Step 2: Convert to fraction form
   4,509/10,462.50 = 10,462.50/x
3. Step 3: Cross multiply
   4,509x = 10,462.50 × 10,462.50
4. Step 4: Simplify right side
   4,509x = 109,463,906.25
5. Step 5: Solve for x
   x = 109,463,906.25/4,509
6. Step 6: Final answer
   x = 24,276.76