Finding the Third Proportional to 7,822.50 and 17,021.75

Step by Step Solution

1. Step 1: Write the proportion equation
   7,822.50 : 17,021.75 = 17,021.75 : x
2. Step 2: Convert to fraction form
   7,822.50/17,021.75 = 17,021.75/x
3. Step 3: Cross multiply
   7,822.50x = 17,021.75 × 17,021.75
4. Step 4: Simplify right side
   7,822.50x = 289,739,973.06
5. Step 5: Solve for x
   x = 289,739,973.06/7,822.50
6. Step 6: Final answer
   x = 37,039.31