Finding the Third Proportional to 35,942 and 77,336

Step by Step Solution

1. Step 1: Write the proportion equation
   35,942 : 77,336 = 77,336 : x
2. Step 2: Convert to fraction form
   35,942/77,336 = 77,336/x
3. Step 3: Cross multiply
   35,942x = 77,336 × 77,336
4. Step 4: Simplify right side
   35,942x = 5,980,856,896
5. Step 5: Solve for x
   x = 5,980,856,896/35,942
6. Step 6: Final answer
   x = 166,403.01