Finding the Third Proportional to 9,965.25 and 21,567.38

Step by Step Solution

1. Step 1: Write the proportion equation
   9,965.25 : 21,567.38 = 21,567.38 : x
2. Step 2: Convert to fraction form
   9,965.25/21,567.38 = 21,567.38/x
3. Step 3: Cross multiply
   9,965.25x = 21,567.38 × 21,567.38
4. Step 4: Simplify right side
   9,965.25x = 465,151,664.39
5. Step 5: Solve for x
   x = 465,151,664.39/9,965.25
6. Step 6: Final answer
   x = 46,677.37