Finding the Third Proportional to 35,414 and 53,204

Step by Step Solution

1. Step 1: Write the proportion equation
   35,414 : 53,204 = 53,204 : x
2. Step 2: Convert to fraction form
   35,414/53,204 = 53,204/x
3. Step 3: Cross multiply
   35,414x = 53,204 × 53,204
4. Step 4: Simplify right side
   35,414x = 2,830,665,616
5. Step 5: Solve for x
   x = 2,830,665,616/35,414
6. Step 6: Final answer
   x = 79,930.69