Finding the Third Proportional to 4,162.50 and 9,164.25

Step by Step Solution

1. Step 1: Write the proportion equation
   4,162.50 : 9,164.25 = 9,164.25 : x
2. Step 2: Convert to fraction form
   4,162.50/9,164.25 = 9,164.25/x
3. Step 3: Cross multiply
   4,162.50x = 9,164.25 × 9,164.25
4. Step 4: Simplify right side
   4,162.50x = 83,983,478.06
5. Step 5: Solve for x
   x = 83,983,478.06/4,162.50
6. Step 6: Final answer
   x = 20,176.21