Finding the Third Proportional to 35,012 and 75,850

Step by Step Solution

1. Step 1: Write the proportion equation
   35,012 : 75,850 = 75,850 : x
2. Step 2: Convert to fraction form
   35,012/75,850 = 75,850/x
3. Step 3: Cross multiply
   35,012x = 75,850 × 75,850
4. Step 4: Simplify right side
   35,012x = 5,753,222,500
5. Step 5: Solve for x
   x = 5,753,222,500/35,012
6. Step 6: Final answer
   x = 164,321.45