Finding the Third Proportional to 10,801 and 17,637

Step by Step Solution

1. Step 1: Write the proportion equation
   10,801 : 17,637 = 17,637 : x
2. Step 2: Convert to fraction form
   10,801/17,637 = 17,637/x
3. Step 3: Cross multiply
   10,801x = 17,637 × 17,637
4. Step 4: Simplify right side
   10,801x = 311,063,769
5. Step 5: Solve for x
   x = 311,063,769/10,801
6. Step 6: Final answer
   x = 28,799.53