Finding the Third Proportional to 41,979 and 65,506.50

Step by Step Solution

1. Step 1: Write the proportion equation
   41,979 : 65,506.50 = 65,506.50 : x
2. Step 2: Convert to fraction form
   41,979/65,506.50 = 65,506.50/x
3. Step 3: Cross multiply
   41,979x = 65,506.50 × 65,506.50
4. Step 4: Simplify right side
   41,979x = 4,291,101,542.25
5. Step 5: Solve for x
   x = 4,291,101,542.25/41,979
6. Step 6: Final answer
   x = 102,220.19