Finding the Third Proportional to 31,147 and 46,801

Step by Step Solution

1. Step 1: Write the proportion equation
   31,147 : 46,801 = 46,801 : x
2. Step 2: Convert to fraction form
   31,147/46,801 = 46,801/x
3. Step 3: Cross multiply
   31,147x = 46,801 × 46,801
4. Step 4: Simplify right side
   31,147x = 2,190,333,601
5. Step 5: Solve for x
   x = 2,190,333,601/31,147
6. Step 6: Final answer
   x = 70,322.46