Finding the Third Proportional to 39,022.50 and 82,906.50

Step by Step Solution

1. Step 1: Write the proportion equation
   39,022.50 : 82,906.50 = 82,906.50 : x
2. Step 2: Convert to fraction form
   39,022.50/82,906.50 = 82,906.50/x
3. Step 3: Cross multiply
   39,022.50x = 82,906.50 × 82,906.50
4. Step 4: Simplify right side
   39,022.50x = 6,873,487,742.25
5. Step 5: Solve for x
   x = 6,873,487,742.25/39,022.50
6. Step 6: Final answer
   x = 176,141.66