Finding the Third Proportional to 9,322.50 and 19,974.75

Step by Step Solution

1. Step 1: Write the proportion equation
   9,322.50 : 19,974.75 = 19,974.75 : x
2. Step 2: Convert to fraction form
   9,322.50/19,974.75 = 19,974.75/x
3. Step 3: Cross multiply
   9,322.50x = 19,974.75 × 19,974.75
4. Step 4: Simplify right side
   9,322.50x = 398,990,637.56
5. Step 5: Solve for x
   x = 398,990,637.56/9,322.50
6. Step 6: Final answer
   x = 42,798.67