Finding the Third Proportional to 67,738 and 105,485

Step by Step Solution

1. Step 1: Write the proportion equation
   67,738 : 105,485 = 105,485 : x
2. Step 2: Convert to fraction form
   67,738/105,485 = 105,485/x
3. Step 3: Cross multiply
   67,738x = 105,485 × 105,485
4. Step 4: Simplify right side
   67,738x = 11,127,085,225
5. Step 5: Solve for x
   x = 11,127,085,225/67,738
6. Step 6: Final answer
   x = 164,266.52