Finding the Third Proportional to 20,242 and 31,513

Step by Step Solution

1. Step 1: Write the proportion equation
   20,242 : 31,513 = 31,513 : x
2. Step 2: Convert to fraction form
   20,242/31,513 = 31,513/x
3. Step 3: Cross multiply
   20,242x = 31,513 × 31,513
4. Step 4: Simplify right side
   20,242x = 993,069,169
5. Step 5: Solve for x
   x = 993,069,169/20,242
6. Step 6: Final answer
   x = 49,059.83