Finding the Third Proportional to 41,798 and 64,009

Step by Step Solution

1. Step 1: Write the proportion equation
   41,798 : 64,009 = 64,009 : x
2. Step 2: Convert to fraction form
   41,798/64,009 = 64,009/x
3. Step 3: Cross multiply
   41,798x = 64,009 × 64,009
4. Step 4: Simplify right side
   41,798x = 4,097,152,081
5. Step 5: Solve for x
   x = 4,097,152,081/41,798
6. Step 6: Final answer
   x = 98,022.68