Finding the Third Proportional to 40,022 and 57,966.50

Step by Step Solution

1. Step 1: Write the proportion equation
   40,022 : 57,966.50 = 57,966.50 : x
2. Step 2: Convert to fraction form
   40,022/57,966.50 = 57,966.50/x
3. Step 3: Cross multiply
   40,022x = 57,966.50 × 57,966.50
4. Step 4: Simplify right side
   40,022x = 3,360,115,122.25
5. Step 5: Solve for x
   x = 3,360,115,122.25/40,022
6. Step 6: Final answer
   x = 83,956.70