Finding the Third Proportional to 35,862 and 76,648

Step by Step Solution

1. Step 1: Write the proportion equation
   35,862 : 76,648 = 76,648 : x
2. Step 2: Convert to fraction form
   35,862/76,648 = 76,648/x
3. Step 3: Cross multiply
   35,862x = 76,648 × 76,648
4. Step 4: Simplify right side
   35,862x = 5,874,915,904
5. Step 5: Solve for x
   x = 5,874,915,904/35,862
6. Step 6: Final answer
   x = 163,820.09