Finding the Third Proportional to 41,949 and 83,866.50

Step by Step Solution

1. Step 1: Write the proportion equation
   41,949 : 83,866.50 = 83,866.50 : x
2. Step 2: Convert to fraction form
   41,949/83,866.50 = 83,866.50/x
3. Step 3: Cross multiply
   41,949x = 83,866.50 × 83,866.50
4. Step 4: Simplify right side
   41,949x = 7,033,589,822.25
5. Step 5: Solve for x
   x = 7,033,589,822.25/41,949
6. Step 6: Final answer
   x = 167,670.02