Finding the Third Proportional to 40,842 and 59,642

Step by Step Solution

1. Step 1: Write the proportion equation
   40,842 : 59,642 = 59,642 : x
2. Step 2: Convert to fraction form
   40,842/59,642 = 59,642/x
3. Step 3: Cross multiply
   40,842x = 59,642 × 59,642
4. Step 4: Simplify right side
   40,842x = 3,557,168,164
5. Step 5: Solve for x
   x = 3,557,168,164/40,842
6. Step 6: Final answer
   x = 87,095.84