Finding the Third Proportional to 35,005 and 76,814

Step by Step Solution

1. Step 1: Write the proportion equation
   35,005 : 76,814 = 76,814 : x
2. Step 2: Convert to fraction form
   35,005/76,814 = 76,814/x
3. Step 3: Cross multiply
   35,005x = 76,814 × 76,814
4. Step 4: Simplify right side
   35,005x = 5,900,390,596
5. Step 5: Solve for x
   x = 5,900,390,596/35,005
6. Step 6: Final answer
   x = 168,558.51