Finding the Third Proportional to 43,826 and 71,204

Step by Step Solution

1. Step 1: Write the proportion equation
   43,826 : 71,204 = 71,204 : x
2. Step 2: Convert to fraction form
   43,826/71,204 = 71,204/x
3. Step 3: Cross multiply
   43,826x = 71,204 × 71,204
4. Step 4: Simplify right side
   43,826x = 5,070,009,616
5. Step 5: Solve for x
   x = 5,070,009,616/43,826
6. Step 6: Final answer
   x = 115,684.97