Finding the Third Proportional to 9,009 and 13,802.25

Step by Step Solution

1. Step 1: Write the proportion equation
   9,009 : 13,802.25 = 13,802.25 : x
2. Step 2: Convert to fraction form
   9,009/13,802.25 = 13,802.25/x
3. Step 3: Cross multiply
   9,009x = 13,802.25 × 13,802.25
4. Step 4: Simplify right side
   9,009x = 190,502,105.06
5. Step 5: Solve for x
   x = 190,502,105.06/9,009
6. Step 6: Final answer
   x = 21,145.75