Finding the Third Proportional to 8,801 and 17,746

Step by Step Solution

1. Step 1: Write the proportion equation
   8,801 : 17,746 = 17,746 : x
2. Step 2: Convert to fraction form
   8,801/17,746 = 17,746/x
3. Step 3: Cross multiply
   8,801x = 17,746 × 17,746
4. Step 4: Simplify right side
   8,801x = 314,920,516
5. Step 5: Solve for x
   x = 314,920,516/8,801
6. Step 6: Final answer
   x = 35,782.36