Finding the Third Proportional to 42,352 and 83,642

Step by Step Solution

1. Step 1: Write the proportion equation
   42,352 : 83,642 = 83,642 : x
2. Step 2: Convert to fraction form
   42,352/83,642 = 83,642/x
3. Step 3: Cross multiply
   42,352x = 83,642 × 83,642
4. Step 4: Simplify right side
   42,352x = 6,995,984,164
5. Step 5: Solve for x
   x = 6,995,984,164/42,352
6. Step 6: Final answer
   x = 165,186.63