Finding the Third Proportional to 9,744.75 and 21,407.38

Step by Step Solution

1. Step 1: Write the proportion equation
   9,744.75 : 21,407.38 = 21,407.38 : x
2. Step 2: Convert to fraction form
   9,744.75/21,407.38 = 21,407.38/x
3. Step 3: Cross multiply
   9,744.75x = 21,407.38 × 21,407.38
4. Step 4: Simplify right side
   9,744.75x = 458,275,704.39
5. Step 5: Solve for x
   x = 458,275,704.39/9,744.75
6. Step 6: Final answer
   x = 47,027.96