Finding the Third Proportional to 35,012 and 76,828

Step by Step Solution

1. Step 1: Write the proportion equation
   35,012 : 76,828 = 76,828 : x
2. Step 2: Convert to fraction form
   35,012/76,828 = 76,828/x
3. Step 3: Cross multiply
   35,012x = 76,828 × 76,828
4. Step 4: Simplify right side
   35,012x = 5,902,541,584
5. Step 5: Solve for x
   x = 5,902,541,584/35,012
6. Step 6: Final answer
   x = 168,586.24