Finding the Third Proportional to 31,431 and 67,783

Step by Step Solution

1. Step 1: Write the proportion equation
   31,431 : 67,783 = 67,783 : x
2. Step 2: Convert to fraction form
   31,431/67,783 = 67,783/x
3. Step 3: Cross multiply
   31,431x = 67,783 × 67,783
4. Step 4: Simplify right side
   31,431x = 4,594,535,089
5. Step 5: Solve for x
   x = 4,594,535,089/31,431
6. Step 6: Final answer
   x = 146,178.46