Finding the Third Proportional to 7,820.16 and 17,017.31

Step by Step Solution

1. Step 1: Write the proportion equation
   7,820.16 : 17,017.31 = 17,017.31 : x
2. Step 2: Convert to fraction form
   7,820.16/17,017.31 = 17,017.31/x
3. Step 3: Cross multiply
   7,820.16x = 17,017.31 × 17,017.31
4. Step 4: Simplify right side
   7,820.16x = 289,588,924.72
5. Step 5: Solve for x
   x = 289,588,924.72/7,820.16
6. Step 6: Final answer
   x = 37,031.09