Finding the Third Proportional to 35,800 and 76,224

Step by Step Solution

1. Step 1: Write the proportion equation
   35,800 : 76,224 = 76,224 : x
2. Step 2: Convert to fraction form
   35,800/76,224 = 76,224/x
3. Step 3: Cross multiply
   35,800x = 76,224 × 76,224
4. Step 4: Simplify right side
   35,800x = 5,810,098,176
5. Step 5: Solve for x
   x = 5,810,098,176/35,800
6. Step 6: Final answer
   x = 162,293.25