Finding the Third Proportional to 5,801 and 13,653

Step by Step Solution

1. Step 1: Write the proportion equation
   5,801 : 13,653 = 13,653 : x
2. Step 2: Convert to fraction form
   5,801/13,653 = 13,653/x
3. Step 3: Cross multiply
   5,801x = 13,653 × 13,653
4. Step 4: Simplify right side
   5,801x = 186,404,409
5. Step 5: Solve for x
   x = 186,404,409/5,801
6. Step 6: Final answer
   x = 32,133.15