Finding the Third Proportional to 35,011 and 76,825

Step by Step Solution

1. Step 1: Write the proportion equation
   35,011 : 76,825 = 76,825 : x
2. Step 2: Convert to fraction form
   35,011/76,825 = 76,825/x
3. Step 3: Cross multiply
   35,011x = 76,825 × 76,825
4. Step 4: Simplify right side
   35,011x = 5,902,080,625
5. Step 5: Solve for x
   x = 5,902,080,625/35,011
6. Step 6: Final answer
   x = 168,577.89