Finding the Third Proportional to 41,786 and 64,003

Step by Step Solution

1. Step 1: Write the proportion equation
   41,786 : 64,003 = 64,003 : x
2. Step 2: Convert to fraction form
   41,786/64,003 = 64,003/x
3. Step 3: Cross multiply
   41,786x = 64,003 × 64,003
4. Step 4: Simplify right side
   41,786x = 4,096,384,009
5. Step 5: Solve for x
   x = 4,096,384,009/41,786
6. Step 6: Final answer
   x = 98,032.45