Finding the Third Proportional to 20,400 and 30,032

Step by Step Solution

1. Step 1: Write the proportion equation
   20,400 : 30,032 = 30,032 : x
2. Step 2: Convert to fraction form
   20,400/30,032 = 30,032/x
3. Step 3: Cross multiply
   20,400x = 30,032 × 30,032
4. Step 4: Simplify right side
   20,400x = 901,921,024
5. Step 5: Solve for x
   x = 901,921,024/20,400
6. Step 6: Final answer
   x = 44,211.81