Finding the Third Proportional to 35,557 and 76,801

Step by Step Solution

1. Step 1: Write the proportion equation
   35,557 : 76,801 = 76,801 : x
2. Step 2: Convert to fraction form
   35,557/76,801 = 76,801/x
3. Step 3: Cross multiply
   35,557x = 76,801 × 76,801
4. Step 4: Simplify right side
   35,557x = 5,898,393,601
5. Step 5: Solve for x
   x = 5,898,393,601/35,557
6. Step 6: Final answer
   x = 165,885.58