Finding the Third Proportional to 65,696 and 101,912

Step by Step Solution

1. Step 1: Write the proportion equation
   65,696 : 101,912 = 101,912 : x
2. Step 2: Convert to fraction form
   65,696/101,912 = 101,912/x
3. Step 3: Cross multiply
   65,696x = 101,912 × 101,912
4. Step 4: Simplify right side
   65,696x = 10,386,055,744
5. Step 5: Solve for x
   x = 10,386,055,744/65,696
6. Step 6: Final answer
   x = 158,092.67