Finding the Third Proportional to 19,802.25 and 41,007

Step by Step Solution

1. Step 1: Write the proportion equation
   19,802.25 : 41,007 = 41,007 : x
2. Step 2: Convert to fraction form
   19,802.25/41,007 = 41,007/x
3. Step 3: Cross multiply
   19,802.25x = 41,007 × 41,007
4. Step 4: Simplify right side
   19,802.25x = 1,681,574,049
5. Step 5: Solve for x
   x = 1,681,574,049/19,802.25
6. Step 6: Final answer
   x = 84,918.33