Finding the Third Proportional to 9,966.75 and 20,581.50

Step by Step Solution

1. Step 1: Write the proportion equation
   9,966.75 : 20,581.50 = 20,581.50 : x
2. Step 2: Convert to fraction form
   9,966.75/20,581.50 = 20,581.50/x
3. Step 3: Cross multiply
   9,966.75x = 20,581.50 × 20,581.50
4. Step 4: Simplify right side
   9,966.75x = 423,598,142.25
5. Step 5: Solve for x
   x = 423,598,142.25/9,966.75
6. Step 6: Final answer
   x = 42,501.13