Finding the Third Proportional to 16,906 and 31,697

Step by Step Solution

1. Step 1: Write the proportion equation
   16,906 : 31,697 = 31,697 : x
2. Step 2: Convert to fraction form
   16,906/31,697 = 31,697/x
3. Step 3: Cross multiply
   16,906x = 31,697 × 31,697
4. Step 4: Simplify right side
   16,906x = 1,004,699,809
5. Step 5: Solve for x
   x = 1,004,699,809/16,906
6. Step 6: Final answer
   x = 59,428.59