Finding the Third Proportional to 35,721 and 76,179

Step by Step Solution

1. Step 1: Write the proportion equation
   35,721 : 76,179 = 76,179 : x
2. Step 2: Convert to fraction form
   35,721/76,179 = 76,179/x
3. Step 3: Cross multiply
   35,721x = 76,179 × 76,179
4. Step 4: Simplify right side
   35,721x = 5,803,240,041
5. Step 5: Solve for x
   x = 5,803,240,041/35,721
6. Step 6: Final answer
   x = 162,460.18