Finding the Third Proportional to 41,802 and 64,755

Step by Step Solution

1. Step 1: Write the proportion equation
   41,802 : 64,755 = 64,755 : x
2. Step 2: Convert to fraction form
   41,802/64,755 = 64,755/x
3. Step 3: Cross multiply
   41,802x = 64,755 × 64,755
4. Step 4: Simplify right side
   41,802x = 4,193,210,025
5. Step 5: Solve for x
   x = 4,193,210,025/41,802
6. Step 6: Final answer
   x = 100,311.23