Finding the Third Proportional to 9,008 and 19,657

Step by Step Solution

1. Step 1: Write the proportion equation
   9,008 : 19,657 = 19,657 : x
2. Step 2: Convert to fraction form
   9,008/19,657 = 19,657/x
3. Step 3: Cross multiply
   9,008x = 19,657 × 19,657
4. Step 4: Simplify right side
   9,008x = 386,397,649
5. Step 5: Solve for x
   x = 386,397,649/9,008
6. Step 6: Final answer
   x = 42,894.94