Finding the Third Proportional to 35,920 and 77,128

Step by Step Solution

1. Step 1: Write the proportion equation
   35,920 : 77,128 = 77,128 : x
2. Step 2: Convert to fraction form
   35,920/77,128 = 77,128/x
3. Step 3: Cross multiply
   35,920x = 77,128 × 77,128
4. Step 4: Simplify right side
   35,920x = 5,948,728,384
5. Step 5: Solve for x
   x = 5,948,728,384/35,920
6. Step 6: Final answer
   x = 165,610.48