Finding the Third Proportional to 41,886 and 64,774

Step by Step Solution

1. Step 1: Write the proportion equation
   41,886 : 64,774 = 64,774 : x
2. Step 2: Convert to fraction form
   41,886/64,774 = 64,774/x
3. Step 3: Cross multiply
   41,886x = 64,774 × 64,774
4. Step 4: Simplify right side
   41,886x = 4,195,671,076
5. Step 5: Solve for x
   x = 4,195,671,076/41,886
6. Step 6: Final answer
   x = 100,168.82