Finding the Third Proportional to 35,926 and 73,644

Step by Step Solution

1. Step 1: Write the proportion equation
   35,926 : 73,644 = 73,644 : x
2. Step 2: Convert to fraction form
   35,926/73,644 = 73,644/x
3. Step 3: Cross multiply
   35,926x = 73,644 × 73,644
4. Step 4: Simplify right side
   35,926x = 5,423,438,736
5. Step 5: Solve for x
   x = 5,423,438,736/35,926
6. Step 6: Final answer
   x = 150,961.39