Finding the Third Proportional to 35,732 and 76,215

Step by Step Solution

1. Step 1: Write the proportion equation
   35,732 : 76,215 = 76,215 : x
2. Step 2: Convert to fraction form
   35,732/76,215 = 76,215/x
3. Step 3: Cross multiply
   35,732x = 76,215 × 76,215
4. Step 4: Simplify right side
   35,732x = 5,808,726,225
5. Step 5: Solve for x
   x = 5,808,726,225/35,732
6. Step 6: Final answer
   x = 162,563.70