Finding the Third Proportional to 7,942.50 and 17,440.50

Step by Step Solution

1. Step 1: Write the proportion equation
   7,942.50 : 17,440.50 = 17,440.50 : x
2. Step 2: Convert to fraction form
   7,942.50/17,440.50 = 17,440.50/x
3. Step 3: Cross multiply
   7,942.50x = 17,440.50 × 17,440.50
4. Step 4: Simplify right side
   7,942.50x = 304,171,040.25
5. Step 5: Solve for x
   x = 304,171,040.25/7,942.50
6. Step 6: Final answer
   x = 38,296.64