Finding the Third Proportional to 31,658 and 46,999

Step by Step Solution

1. Step 1: Write the proportion equation
   31,658 : 46,999 = 46,999 : x
2. Step 2: Convert to fraction form
   31,658/46,999 = 46,999/x
3. Step 3: Cross multiply
   31,658x = 46,999 × 46,999
4. Step 4: Simplify right side
   31,658x = 2,208,906,001
5. Step 5: Solve for x
   x = 2,208,906,001/31,658
6. Step 6: Final answer
   x = 69,774.02