Finding the Third Proportional to 35,780 and 76,180

Step by Step Solution

1. Step 1: Write the proportion equation
   35,780 : 76,180 = 76,180 : x
2. Step 2: Convert to fraction form
   35,780/76,180 = 76,180/x
3. Step 3: Cross multiply
   35,780x = 76,180 × 76,180
4. Step 4: Simplify right side
   35,780x = 5,803,392,400
5. Step 5: Solve for x
   x = 5,803,392,400/35,780
6. Step 6: Final answer
   x = 162,196.55