Finding the Third Proportional to 67,638.50 and 105,141.75

Step by Step Solution

1. Step 1: Write the proportion equation
   67,638.50 : 105,141.75 = 105,141.75 : x
2. Step 2: Convert to fraction form
   67,638.50/105,141.75 = 105,141.75/x
3. Step 3: Cross multiply
   67,638.50x = 105,141.75 × 105,141.75
4. Step 4: Simplify right side
   67,638.50x = 11,054,787,593.06
5. Step 5: Solve for x
   x = 11,054,787,593.06/67,638.50
6. Step 6: Final answer
   x = 163,439.28