Finding the Third Proportional to 35,010 and 53,162

Step by Step Solution

1. Step 1: Write the proportion equation
   35,010 : 53,162 = 53,162 : x
2. Step 2: Convert to fraction form
   35,010/53,162 = 53,162/x
3. Step 3: Cross multiply
   35,010x = 53,162 × 53,162
4. Step 4: Simplify right side
   35,010x = 2,826,198,244
5. Step 5: Solve for x
   x = 2,826,198,244/35,010
6. Step 6: Final answer
   x = 80,725.46