Finding the Third Proportional to 41,205 and 61,705.50

Step by Step Solution

1. Step 1: Write the proportion equation
   41,205 : 61,705.50 = 61,705.50 : x
2. Step 2: Convert to fraction form
   41,205/61,705.50 = 61,705.50/x
3. Step 3: Cross multiply
   41,205x = 61,705.50 × 61,705.50
4. Step 4: Simplify right side
   41,205x = 3,807,568,730.25
5. Step 5: Solve for x
   x = 3,807,568,730.25/41,205
6. Step 6: Final answer
   x = 92,405.50