Finding the Third Proportional to 35,010 and 75,846

Step by Step Solution

1. Step 1: Write the proportion equation
   35,010 : 75,846 = 75,846 : x
2. Step 2: Convert to fraction form
   35,010/75,846 = 75,846/x
3. Step 3: Cross multiply
   35,010x = 75,846 × 75,846
4. Step 4: Simplify right side
   35,010x = 5,752,615,716
5. Step 5: Solve for x
   x = 5,752,615,716/35,010
6. Step 6: Final answer
   x = 164,313.50