Finding the Third Proportional to 10,137 and 21,783

Step by Step Solution

1. Step 1: Write the proportion equation
   10,137 : 21,783 = 21,783 : x
2. Step 2: Convert to fraction form
   10,137/21,783 = 21,783/x
3. Step 3: Cross multiply
   10,137x = 21,783 × 21,783
4. Step 4: Simplify right side
   10,137x = 474,499,089
5. Step 5: Solve for x
   x = 474,499,089/10,137
6. Step 6: Final answer
   x = 46,808.63