Finding the Third Proportional to 41,005 and 61,293.50

Step by Step Solution

1. Step 1: Write the proportion equation
   41,005 : 61,293.50 = 61,293.50 : x
2. Step 2: Convert to fraction form
   41,005/61,293.50 = 61,293.50/x
3. Step 3: Cross multiply
   41,005x = 61,293.50 × 61,293.50
4. Step 4: Simplify right side
   41,005x = 3,756,893,142.25
5. Step 5: Solve for x
   x = 3,756,893,142.25/41,005
6. Step 6: Final answer
   x = 91,620.37