Finding the Third Proportional to 13,005 and 20,693

Step by Step Solution

1. Step 1: Write the proportion equation
   13,005 : 20,693 = 20,693 : x
2. Step 2: Convert to fraction form
   13,005/20,693 = 20,693/x
3. Step 3: Cross multiply
   13,005x = 20,693 × 20,693
4. Step 4: Simplify right side
   13,005x = 428,200,249
5. Step 5: Solve for x
   x = 428,200,249/13,005
6. Step 6: Final answer
   x = 32,925.82