Finding the Third Proportional to 15,942 and 34,642

Step by Step Solution

1. Step 1: Write the proportion equation
   15,942 : 34,642 = 34,642 : x
2. Step 2: Convert to fraction form
   15,942/34,642 = 34,642/x
3. Step 3: Cross multiply
   15,942x = 34,642 × 34,642
4. Step 4: Simplify right side
   15,942x = 1,200,068,164
5. Step 5: Solve for x
   x = 1,200,068,164/15,942
6. Step 6: Final answer
   x = 75,277.14