Finding the Third Proportional to 9,780.75 and 21,407.25

Step by Step Solution

1. Step 1: Write the proportion equation
   9,780.75 : 21,407.25 = 21,407.25 : x
2. Step 2: Convert to fraction form
   9,780.75/21,407.25 = 21,407.25/x
3. Step 3: Cross multiply
   9,780.75x = 21,407.25 × 21,407.25
4. Step 4: Simplify right side
   9,780.75x = 458,270,352.56
5. Step 5: Solve for x
   x = 458,270,352.56/9,780.75
6. Step 6: Final answer
   x = 46,854.32