Finding the Third Proportional to 35,109 and 53,042

Step by Step Solution

1. Step 1: Write the proportion equation
   35,109 : 53,042 = 53,042 : x
2. Step 2: Convert to fraction form
   35,109/53,042 = 53,042/x
3. Step 3: Cross multiply
   35,109x = 53,042 × 53,042
4. Step 4: Simplify right side
   35,109x = 2,813,453,764
5. Step 5: Solve for x
   x = 2,813,453,764/35,109
6. Step 6: Final answer
   x = 80,134.83