Finding the Third Proportional to 64,824 and 105,850

Step by Step Solution

1. Step 1: Write the proportion equation
   64,824 : 105,850 = 105,850 : x
2. Step 2: Convert to fraction form
   64,824/105,850 = 105,850/x
3. Step 3: Cross multiply
   64,824x = 105,850 × 105,850
4. Step 4: Simplify right side
   64,824x = 11,204,222,500
5. Step 5: Solve for x
   x = 11,204,222,500/64,824
6. Step 6: Final answer
   x = 172,840.65