Finding the Third Proportional to 65,696 and 98,112

Step by Step Solution

1. Step 1: Write the proportion equation
   65,696 : 98,112 = 98,112 : x
2. Step 2: Convert to fraction form
   65,696/98,112 = 98,112/x
3. Step 3: Cross multiply
   65,696x = 98,112 × 98,112
4. Step 4: Simplify right side
   65,696x = 9,625,964,544
5. Step 5: Solve for x
   x = 9,625,964,544/65,696
6. Step 6: Final answer
   x = 146,522.84