Finding the Third Proportional to 9,005 and 13,634

Step by Step Solution

1. Step 1: Write the proportion equation
   9,005 : 13,634 = 13,634 : x
2. Step 2: Convert to fraction form
   9,005/13,634 = 13,634/x
3. Step 3: Cross multiply
   9,005x = 13,634 × 13,634
4. Step 4: Simplify right side
   9,005x = 185,885,956
5. Step 5: Solve for x
   x = 185,885,956/9,005
6. Step 6: Final answer
   x = 20,642.53