Finding the Third Proportional to 35,680.50 and 76,302

Step by Step Solution

1. Step 1: Write the proportion equation
   35,680.50 : 76,302 = 76,302 : x
2. Step 2: Convert to fraction form
   35,680.50/76,302 = 76,302/x
3. Step 3: Cross multiply
   35,680.50x = 76,302 × 76,302
4. Step 4: Simplify right side
   35,680.50x = 5,821,995,204
5. Step 5: Solve for x
   x = 5,821,995,204/35,680.50
6. Step 6: Final answer
   x = 163,170.22