Finding the Third Proportional to 7,821.38 and 17,019.75

Step by Step Solution

1. Step 1: Write the proportion equation
   7,821.38 : 17,019.75 = 17,019.75 : x
2. Step 2: Convert to fraction form
   7,821.38/17,019.75 = 17,019.75/x
3. Step 3: Cross multiply
   7,821.38x = 17,019.75 × 17,019.75
4. Step 4: Simplify right side
   7,821.38x = 289,671,890.06
5. Step 5: Solve for x
   x = 289,671,890.06/7,821.38
6. Step 6: Final answer
   x = 37,035.93