Finding the Third Proportional to 31,780 and 67,783

Step by Step Solution

1. Step 1: Write the proportion equation
   31,780 : 67,783 = 67,783 : x
2. Step 2: Convert to fraction form
   31,780/67,783 = 67,783/x
3. Step 3: Cross multiply
   31,780x = 67,783 × 67,783
4. Step 4: Simplify right side
   31,780x = 4,594,535,089
5. Step 5: Solve for x
   x = 4,594,535,089/31,780
6. Step 6: Final answer
   x = 144,573.16