Finding the Third Proportional to 35,800 and 76,208

Step by Step Solution

1. Step 1: Write the proportion equation
   35,800 : 76,208 = 76,208 : x
2. Step 2: Convert to fraction form
   35,800/76,208 = 76,208/x
3. Step 3: Cross multiply
   35,800x = 76,208 × 76,208
4. Step 4: Simplify right side
   35,800x = 5,807,659,264
5. Step 5: Solve for x
   x = 5,807,659,264/35,800
6. Step 6: Final answer
   x = 162,225.12