Finding the Third Proportional to 9,738 and 22,443.75

Step by Step Solution

1. Step 1: Write the proportion equation
   9,738 : 22,443.75 = 22,443.75 : x
2. Step 2: Convert to fraction form
   9,738/22,443.75 = 22,443.75/x
3. Step 3: Cross multiply
   9,738x = 22,443.75 × 22,443.75
4. Step 4: Simplify right side
   9,738x = 503,721,914.06
5. Step 5: Solve for x
   x = 503,721,914.06/9,738
6. Step 6: Final answer
   x = 51,727.45