Finding the Third Proportional to 36,942 and 76,764

Step by Step Solution

1. Step 1: Write the proportion equation
   36,942 : 76,764 = 76,764 : x
2. Step 2: Convert to fraction form
   36,942/76,764 = 76,764/x
3. Step 3: Cross multiply
   36,942x = 76,764 × 76,764
4. Step 4: Simplify right side
   36,942x = 5,892,711,696
5. Step 5: Solve for x
   x = 5,892,711,696/36,942
6. Step 6: Final answer
   x = 159,512.52