Finding the Third Proportional to 9,942.50 and 13,454.75

Step by Step Solution

1. Step 1: Write the proportion equation
   9,942.50 : 13,454.75 = 13,454.75 : x
2. Step 2: Convert to fraction form
   9,942.50/13,454.75 = 13,454.75/x
3. Step 3: Cross multiply
   9,942.50x = 13,454.75 × 13,454.75
4. Step 4: Simplify right side
   9,942.50x = 181,030,297.56
5. Step 5: Solve for x
   x = 181,030,297.56/9,942.50
6. Step 6: Final answer
   x = 18,207.72