Finding the Third Proportional to 35,740 and 76,230

Step by Step Solution

1. Step 1: Write the proportion equation
   35,740 : 76,230 = 76,230 : x
2. Step 2: Convert to fraction form
   35,740/76,230 = 76,230/x
3. Step 3: Cross multiply
   35,740x = 76,230 × 76,230
4. Step 4: Simplify right side
   35,740x = 5,811,012,900
5. Step 5: Solve for x
   x = 5,811,012,900/35,740
6. Step 6: Final answer
   x = 162,591.30