Finding the Third Proportional to 65,896 and 101,996

Step by Step Solution

1. Step 1: Write the proportion equation
   65,896 : 101,996 = 101,996 : x
2. Step 2: Convert to fraction form
   65,896/101,996 = 101,996/x
3. Step 3: Cross multiply
   65,896x = 101,996 × 101,996
4. Step 4: Simplify right side
   65,896x = 10,403,184,016
5. Step 5: Solve for x
   x = 10,403,184,016/65,896
6. Step 6: Final answer
   x = 157,872.77