Finding the Third Proportional to 31,474 and 46,783

Step by Step Solution

1. Step 1: Write the proportion equation
   31,474 : 46,783 = 46,783 : x
2. Step 2: Convert to fraction form
   31,474/46,783 = 46,783/x
3. Step 3: Cross multiply
   31,474x = 46,783 × 46,783
4. Step 4: Simplify right side
   31,474x = 2,188,649,089
5. Step 5: Solve for x
   x = 2,188,649,089/31,474
6. Step 6: Final answer
   x = 69,538.32