Finding the Third Proportional to 67,838 and 99,795

Step by Step Solution

1. Step 1: Write the proportion equation
   67,838 : 99,795 = 99,795 : x
2. Step 2: Convert to fraction form
   67,838/99,795 = 99,795/x
3. Step 3: Cross multiply
   67,838x = 99,795 × 99,795
4. Step 4: Simplify right side
   67,838x = 9,959,042,025
5. Step 5: Solve for x
   x = 9,959,042,025/67,838
6. Step 6: Final answer
   x = 146,806.24