Finding the Third Proportional to 34,608 and 77,280

Step by Step Solution

1. Step 1: Write the proportion equation
   34,608 : 77,280 = 77,280 : x
2. Step 2: Convert to fraction form
   34,608/77,280 = 77,280/x
3. Step 3: Cross multiply
   34,608x = 77,280 × 77,280
4. Step 4: Simplify right side
   34,608x = 5,972,198,400
5. Step 5: Solve for x
   x = 5,972,198,400/34,608
6. Step 6: Final answer
   x = 172,566.99