Finding the Third Proportional to 11,102 and 23,783

Step by Step Solution

1. Step 1: Write the proportion equation
   11,102 : 23,783 = 23,783 : x
2. Step 2: Convert to fraction form
   11,102/23,783 = 23,783/x
3. Step 3: Cross multiply
   11,102x = 23,783 × 23,783
4. Step 4: Simplify right side
   11,102x = 565,631,089
5. Step 5: Solve for x
   x = 565,631,089/11,102
6. Step 6: Final answer
   x = 50,948.58