Finding the Third Proportional to 35,200 and 71,828

Step by Step Solution

1. Step 1: Write the proportion equation
   35,200 : 71,828 = 71,828 : x
2. Step 2: Convert to fraction form
   35,200/71,828 = 71,828/x
3. Step 3: Cross multiply
   35,200x = 71,828 × 71,828
4. Step 4: Simplify right side
   35,200x = 5,159,261,584
5. Step 5: Solve for x
   x = 5,159,261,584/35,200
6. Step 6: Final answer
   x = 146,569.93