Finding the Third Proportional to 9,801 and 20,513.25

Step by Step Solution

1. Step 1: Write the proportion equation
   9,801 : 20,513.25 = 20,513.25 : x
2. Step 2: Convert to fraction form
   9,801/20,513.25 = 20,513.25/x
3. Step 3: Cross multiply
   9,801x = 20,513.25 × 20,513.25
4. Step 4: Simplify right side
   9,801x = 420,793,425.56
5. Step 5: Solve for x
   x = 420,793,425.56/9,801
6. Step 6: Final answer
   x = 42,933.72