Finding the Third Proportional to 36,392 and 76,456

Step by Step Solution

1. Step 1: Write the proportion equation
   36,392 : 76,456 = 76,456 : x
2. Step 2: Convert to fraction form
   36,392/76,456 = 76,456/x
3. Step 3: Cross multiply
   36,392x = 76,456 × 76,456
4. Step 4: Simplify right side
   36,392x = 5,845,519,936
5. Step 5: Solve for x
   x = 5,845,519,936/36,392
6. Step 6: Final answer
   x = 160,626.51