Finding the Third Proportional to 12,838 and 28,204

Step by Step Solution

1. Step 1: Write the proportion equation
   12,838 : 28,204 = 28,204 : x
2. Step 2: Convert to fraction form
   12,838/28,204 = 28,204/x
3. Step 3: Cross multiply
   12,838x = 28,204 × 28,204
4. Step 4: Simplify right side
   12,838x = 795,465,616
5. Step 5: Solve for x
   x = 795,465,616/12,838
6. Step 6: Final answer
   x = 61,961.80