Finding the Third Proportional to 41,886 and 65,154

Step by Step Solution

1. Step 1: Write the proportion equation
   41,886 : 65,154 = 65,154 : x
2. Step 2: Convert to fraction form
   41,886/65,154 = 65,154/x
3. Step 3: Cross multiply
   41,886x = 65,154 × 65,154
4. Step 4: Simplify right side
   41,886x = 4,245,043,716
5. Step 5: Solve for x
   x = 4,245,043,716/41,886
6. Step 6: Final answer
   x = 101,347.56