Finding the Third Proportional to 35,574 and 76,662

Step by Step Solution

1. Step 1: Write the proportion equation
   35,574 : 76,662 = 76,662 : x
2. Step 2: Convert to fraction form
   35,574/76,662 = 76,662/x
3. Step 3: Cross multiply
   35,574x = 76,662 × 76,662
4. Step 4: Simplify right side
   35,574x = 5,877,062,244
5. Step 5: Solve for x
   x = 5,877,062,244/35,574
6. Step 6: Final answer
   x = 165,206.67