Finding the Third Proportional to 9,638 and 21,023.25

Step by Step Solution

1. Step 1: Write the proportion equation
   9,638 : 21,023.25 = 21,023.25 : x
2. Step 2: Convert to fraction form
   9,638/21,023.25 = 21,023.25/x
3. Step 3: Cross multiply
   9,638x = 21,023.25 × 21,023.25
4. Step 4: Simplify right side
   9,638x = 441,977,040.56
5. Step 5: Solve for x
   x = 441,977,040.56/9,638
6. Step 6: Final answer
   x = 45,857.75