Finding the Third Proportional to 35,685 and 76,310

Step by Step Solution

1. Step 1: Write the proportion equation
   35,685 : 76,310 = 76,310 : x
2. Step 2: Convert to fraction form
   35,685/76,310 = 76,310/x
3. Step 3: Cross multiply
   35,685x = 76,310 × 76,310
4. Step 4: Simplify right side
   35,685x = 5,823,216,100
5. Step 5: Solve for x
   x = 5,823,216,100/35,685
6. Step 6: Final answer
   x = 163,183.86