Finding the Third Proportional to 65,691 and 101,898

Step by Step Solution

1. Step 1: Write the proportion equation
   65,691 : 101,898 = 101,898 : x
2. Step 2: Convert to fraction form
   65,691/101,898 = 101,898/x
3. Step 3: Cross multiply
   65,691x = 101,898 × 101,898
4. Step 4: Simplify right side
   65,691x = 10,383,202,404
5. Step 5: Solve for x
   x = 10,383,202,404/65,691
6. Step 6: Final answer
   x = 158,061.26