Finding the Third Proportional to 14,205 and 30,974

Step by Step Solution

1. Step 1: Write the proportion equation
   14,205 : 30,974 = 30,974 : x
2. Step 2: Convert to fraction form
   14,205/30,974 = 30,974/x
3. Step 3: Cross multiply
   14,205x = 30,974 × 30,974
4. Step 4: Simplify right side
   14,205x = 959,388,676
5. Step 5: Solve for x
   x = 959,388,676/14,205
6. Step 6: Final answer
   x = 67,538.80