Finding the Third Proportional to 4,837.50 and 10,464.50

Step by Step Solution

1. Step 1: Write the proportion equation
   4,837.50 : 10,464.50 = 10,464.50 : x
2. Step 2: Convert to fraction form
   4,837.50/10,464.50 = 10,464.50/x
3. Step 3: Cross multiply
   4,837.50x = 10,464.50 × 10,464.50
4. Step 4: Simplify right side
   4,837.50x = 109,505,760.25
5. Step 5: Solve for x
   x = 109,505,760.25/4,837.50
6. Step 6: Final answer
   x = 22,636.85