Finding the Third Proportional to 9,553.50 and 16,974

Step by Step Solution

1. Step 1: Write the proportion equation
   9,553.50 : 16,974 = 16,974 : x
2. Step 2: Convert to fraction form
   9,553.50/16,974 = 16,974/x
3. Step 3: Cross multiply
   9,553.50x = 16,974 × 16,974
4. Step 4: Simplify right side
   9,553.50x = 288,116,676
5. Step 5: Solve for x
   x = 288,116,676/9,553.50
6. Step 6: Final answer
   x = 30,158.23