Finding the Third Proportional to 3,844.13 and 9,144.56

Step by Step Solution

1. Step 1: Write the proportion equation
   3,844.13 : 9,144.56 = 9,144.56 : x
2. Step 2: Convert to fraction form
   3,844.13/9,144.56 = 9,144.56/x
3. Step 3: Cross multiply
   3,844.13x = 9,144.56 × 9,144.56
4. Step 4: Simplify right side
   3,844.13x = 83,623,023.32
5. Step 5: Solve for x
   x = 83,623,023.32/3,844.13
6. Step 6: Final answer
   x = 21,753.46