Finding the Third Proportional to 35,906 and 76,698

Step by Step Solution

1. Step 1: Write the proportion equation
   35,906 : 76,698 = 76,698 : x
2. Step 2: Convert to fraction form
   35,906/76,698 = 76,698/x
3. Step 3: Cross multiply
   35,906x = 76,698 × 76,698
4. Step 4: Simplify right side
   35,906x = 5,882,583,204
5. Step 5: Solve for x
   x = 5,882,583,204/35,906
6. Step 6: Final answer
   x = 163,832.87