Finding the Third Proportional to 8,201.25 and 17,978.63

Step by Step Solution

1. Step 1: Write the proportion equation
   8,201.25 : 17,978.63 = 17,978.63 : x
2. Step 2: Convert to fraction form
   8,201.25/17,978.63 = 17,978.63/x
3. Step 3: Cross multiply
   8,201.25x = 17,978.63 × 17,978.63
4. Step 4: Simplify right side
   8,201.25x = 323,230,956.89
5. Step 5: Solve for x
   x = 323,230,956.89/8,201.25
6. Step 6: Final answer
   x = 39,412.40