Finding the Third Proportional to 9,633.94 and 13,008.09

Step by Step Solution

1. Step 1: Write the proportion equation
   9,633.94 : 13,008.09 = 13,008.09 : x
2. Step 2: Convert to fraction form
   9,633.94/13,008.09 = 13,008.09/x
3. Step 3: Cross multiply
   9,633.94x = 13,008.09 × 13,008.09
4. Step 4: Simplify right side
   9,633.94x = 169,210,503.01
5. Step 5: Solve for x
   x = 169,210,503.01/9,633.94
6. Step 6: Final answer
   x = 17,564.00