Finding the Third Proportional to 10,011 and 21,783

Step by Step Solution

1. Step 1: Write the proportion equation
   10,011 : 21,783 = 21,783 : x
2. Step 2: Convert to fraction form
   10,011/21,783 = 21,783/x
3. Step 3: Cross multiply
   10,011x = 21,783 × 21,783
4. Step 4: Simplify right side
   10,011x = 474,499,089
5. Step 5: Solve for x
   x = 474,499,089/10,011
6. Step 6: Final answer
   x = 47,397.77