Finding the Third Proportional to 9,005.25 and 19,647.75

Step by Step Solution

1. Step 1: Write the proportion equation
   9,005.25 : 19,647.75 = 19,647.75 : x
2. Step 2: Convert to fraction form
   9,005.25/19,647.75 = 19,647.75/x
3. Step 3: Cross multiply
   9,005.25x = 19,647.75 × 19,647.75
4. Step 4: Simplify right side
   9,005.25x = 386,034,080.06
5. Step 5: Solve for x
   x = 386,034,080.06/9,005.25
6. Step 6: Final answer
   x = 42,867.67