Finding the Third Proportional to 31,980 and 69,783

Step by Step Solution

1. Step 1: Write the proportion equation
   31,980 : 69,783 = 69,783 : x
2. Step 2: Convert to fraction form
   31,980/69,783 = 69,783/x
3. Step 3: Cross multiply
   31,980x = 69,783 × 69,783
4. Step 4: Simplify right side
   31,980x = 4,869,667,089
5. Step 5: Solve for x
   x = 4,869,667,089/31,980
6. Step 6: Final answer
   x = 152,272.27