Finding the Third Proportional to 35,444 and 76,756

Step by Step Solution

1. Step 1: Write the proportion equation
   35,444 : 76,756 = 76,756 : x
2. Step 2: Convert to fraction form
   35,444/76,756 = 76,756/x
3. Step 3: Cross multiply
   35,444x = 76,756 × 76,756
4. Step 4: Simplify right side
   35,444x = 5,891,483,536
5. Step 5: Solve for x
   x = 5,891,483,536/35,444
6. Step 6: Final answer
   x = 166,219.49