Finding the Third Proportional to 8,201.25 and 17,837.72

Step by Step Solution

1. Step 1: Write the proportion equation
   8,201.25 : 17,837.72 = 17,837.72 : x
2. Step 2: Convert to fraction form
   8,201.25/17,837.72 = 17,837.72/x
3. Step 3: Cross multiply
   8,201.25x = 17,837.72 × 17,837.72
4. Step 4: Simplify right side
   8,201.25x = 318,184,210.20
5. Step 5: Solve for x
   x = 318,184,210.20/8,201.25
6. Step 6: Final answer
   x = 38,797.04