Finding the Third Proportional to 34,616 and 75,469

Step by Step Solution

1. Step 1: Write the proportion equation
   34,616 : 75,469 = 75,469 : x
2. Step 2: Convert to fraction form
   34,616/75,469 = 75,469/x
3. Step 3: Cross multiply
   34,616x = 75,469 × 75,469
4. Step 4: Simplify right side
   34,616x = 5,695,569,961
5. Step 5: Solve for x
   x = 5,695,569,961/34,616
6. Step 6: Final answer
   x = 164,535.76