Finding the Third Proportional to 9,577.50 and 19,974

Step by Step Solution

1. Step 1: Write the proportion equation
   9,577.50 : 19,974 = 19,974 : x
2. Step 2: Convert to fraction form
   9,577.50/19,974 = 19,974/x
3. Step 3: Cross multiply
   9,577.50x = 19,974 × 19,974
4. Step 4: Simplify right side
   9,577.50x = 398,960,676
5. Step 5: Solve for x
   x = 398,960,676/9,577.50
6. Step 6: Final answer
   x = 41,656.04