Finding the Third Proportional to 41,796 and 64,006

Step by Step Solution

1. Step 1: Write the proportion equation
   41,796 : 64,006 = 64,006 : x
2. Step 2: Convert to fraction form
   41,796/64,006 = 64,006/x
3. Step 3: Cross multiply
   41,796x = 64,006 × 64,006
4. Step 4: Simplify right side
   41,796x = 4,096,768,036
5. Step 5: Solve for x
   x = 4,096,768,036/41,796
6. Step 6: Final answer
   x = 98,018.18