Finding the Third Proportional to 35,270 and 77,098

Step by Step Solution

1. Step 1: Write the proportion equation
   35,270 : 77,098 = 77,098 : x
2. Step 2: Convert to fraction form
   35,270/77,098 = 77,098/x
3. Step 3: Cross multiply
   35,270x = 77,098 × 77,098
4. Step 4: Simplify right side
   35,270x = 5,944,101,604
5. Step 5: Solve for x
   x = 5,944,101,604/35,270
6. Step 6: Final answer
   x = 168,531.38