Finding the Third Proportional to 20,142 and 31,032

Step by Step Solution

1. Step 1: Write the proportion equation
   20,142 : 31,032 = 31,032 : x
2. Step 2: Convert to fraction form
   20,142/31,032 = 31,032/x
3. Step 3: Cross multiply
   20,142x = 31,032 × 31,032
4. Step 4: Simplify right side
   20,142x = 962,985,024
5. Step 5: Solve for x
   x = 962,985,024/20,142
6. Step 6: Final answer
   x = 47,809.80