Finding the Third Proportional to 35,862 and 78,801

Step by Step Solution

1. Step 1: Write the proportion equation
   35,862 : 78,801 = 78,801 : x
2. Step 2: Convert to fraction form
   35,862/78,801 = 78,801/x
3. Step 3: Cross multiply
   35,862x = 78,801 × 78,801
4. Step 4: Simplify right side
   35,862x = 6,209,597,601
5. Step 5: Solve for x
   x = 6,209,597,601/35,862
6. Step 6: Final answer
   x = 173,152.57