Finding the Third Proportional to 67,834 and 103,767

Step by Step Solution

1. Step 1: Write the proportion equation
   67,834 : 103,767 = 103,767 : x
2. Step 2: Convert to fraction form
   67,834/103,767 = 103,767/x
3. Step 3: Cross multiply
   67,834x = 103,767 × 103,767
4. Step 4: Simplify right side
   67,834x = 10,767,590,289
5. Step 5: Solve for x
   x = 10,767,590,289/67,834
6. Step 6: Final answer
   x = 158,734.41