Finding the Third Proportional to 7,433 and 17,761.50

Step by Step Solution

1. Step 1: Write the proportion equation
   7,433 : 17,761.50 = 17,761.50 : x
2. Step 2: Convert to fraction form
   7,433/17,761.50 = 17,761.50/x
3. Step 3: Cross multiply
   7,433x = 17,761.50 × 17,761.50
4. Step 4: Simplify right side
   7,433x = 315,470,882.25
5. Step 5: Solve for x
   x = 315,470,882.25/7,433
6. Step 6: Final answer
   x = 42,441.93