Finding the Third Proportional to 30,274 and 50,032

Step by Step Solution

1. Step 1: Write the proportion equation
   30,274 : 50,032 = 50,032 : x
2. Step 2: Convert to fraction form
   30,274/50,032 = 50,032/x
3. Step 3: Cross multiply
   30,274x = 50,032 × 50,032
4. Step 4: Simplify right side
   30,274x = 2,503,201,024
5. Step 5: Solve for x
   x = 2,503,201,024/30,274
6. Step 6: Final answer
   x = 82,684.85