Finding the Third Proportional to 9,090.25 and 19,822.75

Step by Step Solution

1. Step 1: Write the proportion equation
   9,090.25 : 19,822.75 = 19,822.75 : x
2. Step 2: Convert to fraction form
   9,090.25/19,822.75 = 19,822.75/x
3. Step 3: Cross multiply
   9,090.25x = 19,822.75 × 19,822.75
4. Step 4: Simplify right side
   9,090.25x = 392,941,417.56
5. Step 5: Solve for x
   x = 392,941,417.56/9,090.25
6. Step 6: Final answer
   x = 43,226.69