Finding the Third Proportional to 39,384.56 and 82,611.56

Step by Step Solution

1. Step 1: Write the proportion equation
   39,384.56 : 82,611.56 = 82,611.56 : x
2. Step 2: Convert to fraction form
   39,384.56/82,611.56 = 82,611.56/x
3. Step 3: Cross multiply
   39,384.56x = 82,611.56 × 82,611.56
4. Step 4: Simplify right side
   39,384.56x = 6,824,670,258.69
5. Step 5: Solve for x
   x = 6,824,670,258.69/39,384.56
6. Step 6: Final answer
   x = 173,282.88