Finding the Third Proportional to 34,089 and 69,828

Step by Step Solution

1. Step 1: Write the proportion equation
   34,089 : 69,828 = 69,828 : x
2. Step 2: Convert to fraction form
   34,089/69,828 = 69,828/x
3. Step 3: Cross multiply
   34,089x = 69,828 × 69,828
4. Step 4: Simplify right side
   34,089x = 4,875,949,584
5. Step 5: Solve for x
   x = 4,875,949,584/34,089
6. Step 6: Final answer
   x = 143,035.86