Finding the Third Proportional to 35,212 and 76,520

Step by Step Solution

1. Step 1: Write the proportion equation
   35,212 : 76,520 = 76,520 : x
2. Step 2: Convert to fraction form
   35,212/76,520 = 76,520/x
3. Step 3: Cross multiply
   35,212x = 76,520 × 76,520
4. Step 4: Simplify right side
   35,212x = 5,855,310,400
5. Step 5: Solve for x
   x = 5,855,310,400/35,212
6. Step 6: Final answer
   x = 166,287.36