Finding the Third Proportional to 40,794 and 82,735.50

Step by Step Solution

1. Step 1: Write the proportion equation
   40,794 : 82,735.50 = 82,735.50 : x
2. Step 2: Convert to fraction form
   40,794/82,735.50 = 82,735.50/x
3. Step 3: Cross multiply
   40,794x = 82,735.50 × 82,735.50
4. Step 4: Simplify right side
   40,794x = 6,845,162,960.25
5. Step 5: Solve for x
   x = 6,845,162,960.25/40,794
6. Step 6: Final answer
   x = 167,798.28