Finding the Third Proportional to 34,942 and 73,828

Step by Step Solution

1. Step 1: Write the proportion equation
   34,942 : 73,828 = 73,828 : x
2. Step 2: Convert to fraction form
   34,942/73,828 = 73,828/x
3. Step 3: Cross multiply
   34,942x = 73,828 × 73,828
4. Step 4: Simplify right side
   34,942x = 5,450,573,584
5. Step 5: Solve for x
   x = 5,450,573,584/34,942
6. Step 6: Final answer
   x = 155,989.17