Finding the Third Proportional to 64,820 and 105,844

Step by Step Solution

1. Step 1: Write the proportion equation
   64,820 : 105,844 = 105,844 : x
2. Step 2: Convert to fraction form
   64,820/105,844 = 105,844/x
3. Step 3: Cross multiply
   64,820x = 105,844 × 105,844
4. Step 4: Simplify right side
   64,820x = 11,202,952,336
5. Step 5: Solve for x
   x = 11,202,952,336/64,820
6. Step 6: Final answer
   x = 172,831.72