Finding the Third Proportional to 67,838 and 103,773

Step by Step Solution

1. Step 1: Write the proportion equation
   67,838 : 103,773 = 103,773 : x
2. Step 2: Convert to fraction form
   67,838/103,773 = 103,773/x
3. Step 3: Cross multiply
   67,838x = 103,773 × 103,773
4. Step 4: Simplify right side
   67,838x = 10,768,835,529
5. Step 5: Solve for x
   x = 10,768,835,529/67,838
6. Step 6: Final answer
   x = 158,743.41