Finding the Third Proportional to 65,676 and 101,886

Step by Step Solution

1. Step 1: Write the proportion equation
   65,676 : 101,886 = 101,886 : x
2. Step 2: Convert to fraction form
   65,676/101,886 = 101,886/x
3. Step 3: Cross multiply
   65,676x = 101,886 × 101,886
4. Step 4: Simplify right side
   65,676x = 10,380,756,996
5. Step 5: Solve for x
   x = 10,380,756,996/65,676
6. Step 6: Final answer
   x = 158,060.13