Finding the Third Proportional to 35,786 and 76,774

Step by Step Solution

1. Step 1: Write the proportion equation
   35,786 : 76,774 = 76,774 : x
2. Step 2: Convert to fraction form
   35,786/76,774 = 76,774/x
3. Step 3: Cross multiply
   35,786x = 76,774 × 76,774
4. Step 4: Simplify right side
   35,786x = 5,894,247,076
5. Step 5: Solve for x
   x = 5,894,247,076/35,786
6. Step 6: Final answer
   x = 164,708.18