Finding the Third Proportional to 38,361.75 and 82,960.50

Step by Step Solution

1. Step 1: Write the proportion equation
   38,361.75 : 82,960.50 = 82,960.50 : x
2. Step 2: Convert to fraction form
   38,361.75/82,960.50 = 82,960.50/x
3. Step 3: Cross multiply
   38,361.75x = 82,960.50 × 82,960.50
4. Step 4: Simplify right side
   38,361.75x = 6,882,444,560.25
5. Step 5: Solve for x
   x = 6,882,444,560.25/38,361.75
6. Step 6: Final answer
   x = 179,409.04