Finding the Third Proportional to 31,654 and 46,993

Step by Step Solution

1. Step 1: Write the proportion equation
   31,654 : 46,993 = 46,993 : x
2. Step 2: Convert to fraction form
   31,654/46,993 = 46,993/x
3. Step 3: Cross multiply
   31,654x = 46,993 × 46,993
4. Step 4: Simplify right side
   31,654x = 2,208,342,049
5. Step 5: Solve for x
   x = 2,208,342,049/31,654
6. Step 6: Final answer
   x = 69,765.02