Finding the Third Proportional to 34,610 and 77,284

Step by Step Solution

1. Step 1: Write the proportion equation
   34,610 : 77,284 = 77,284 : x
2. Step 2: Convert to fraction form
   34,610/77,284 = 77,284/x
3. Step 3: Cross multiply
   34,610x = 77,284 × 77,284
4. Step 4: Simplify right side
   34,610x = 5,972,816,656
5. Step 5: Solve for x
   x = 5,972,816,656/34,610
6. Step 6: Final answer
   x = 172,574.88