Finding the Third Proportional to 42,098 and 73,828

Step by Step Solution

1. Step 1: Write the proportion equation
   42,098 : 73,828 = 73,828 : x
2. Step 2: Convert to fraction form
   42,098/73,828 = 73,828/x
3. Step 3: Cross multiply
   42,098x = 73,828 × 73,828
4. Step 4: Simplify right side
   42,098x = 5,450,573,584
5. Step 5: Solve for x
   x = 5,450,573,584/42,098
6. Step 6: Final answer
   x = 129,473.46