Finding the Third Proportional to 9,859.50 and 21,966.75

Step by Step Solution

1. Step 1: Write the proportion equation
   9,859.50 : 21,966.75 = 21,966.75 : x
2. Step 2: Convert to fraction form
   9,859.50/21,966.75 = 21,966.75/x
3. Step 3: Cross multiply
   9,859.50x = 21,966.75 × 21,966.75
4. Step 4: Simplify right side
   9,859.50x = 482,538,105.56
5. Step 5: Solve for x
   x = 482,538,105.56/9,859.50
6. Step 6: Final answer
   x = 48,941.44