Finding the Third Proportional to 35,862 and 73,308

Step by Step Solution

1. Step 1: Write the proportion equation
   35,862 : 73,308 = 73,308 : x
2. Step 2: Convert to fraction form
   35,862/73,308 = 73,308/x
3. Step 3: Cross multiply
   35,862x = 73,308 × 73,308
4. Step 4: Simplify right side
   35,862x = 5,374,062,864
5. Step 5: Solve for x
   x = 5,374,062,864/35,862
6. Step 6: Final answer
   x = 149,853.96