Finding the Third Proportional to 19,914 and 31,082

Step by Step Solution

1. Step 1: Write the proportion equation
   19,914 : 31,082 = 31,082 : x
2. Step 2: Convert to fraction form
   19,914/31,082 = 31,082/x
3. Step 3: Cross multiply
   19,914x = 31,082 × 31,082
4. Step 4: Simplify right side
   19,914x = 966,090,724
5. Step 5: Solve for x
   x = 966,090,724/19,914
6. Step 6: Final answer
   x = 48,513.14