Finding the Third Proportional to 9,757.50 and 13,942.50

Step by Step Solution

1. Step 1: Write the proportion equation
   9,757.50 : 13,942.50 = 13,942.50 : x
2. Step 2: Convert to fraction form
   9,757.50/13,942.50 = 13,942.50/x
3. Step 3: Cross multiply
   9,757.50x = 13,942.50 × 13,942.50
4. Step 4: Simplify right side
   9,757.50x = 194,393,306.25
5. Step 5: Solve for x
   x = 194,393,306.25/9,757.50
6. Step 6: Final answer
   x = 19,922.45