Finding the Third Proportional to 42,039 and 87,642

Step by Step Solution

1. Step 1: Write the proportion equation
   42,039 : 87,642 = 87,642 : x
2. Step 2: Convert to fraction form
   42,039/87,642 = 87,642/x
3. Step 3: Cross multiply
   42,039x = 87,642 × 87,642
4. Step 4: Simplify right side
   42,039x = 7,681,120,164
5. Step 5: Solve for x
   x = 7,681,120,164/42,039
6. Step 6: Final answer
   x = 182,714.15