Finding the Third Proportional to 67,746 and 105,494

Step by Step Solution

1. Step 1: Write the proportion equation
   67,746 : 105,494 = 105,494 : x
2. Step 2: Convert to fraction form
   67,746/105,494 = 105,494/x
3. Step 3: Cross multiply
   67,746x = 105,494 × 105,494
4. Step 4: Simplify right side
   67,746x = 11,128,984,036
5. Step 5: Solve for x
   x = 11,128,984,036/67,746
6. Step 6: Final answer
   x = 164,275.15