Finding the Third Proportional to 10,665 and 22,788

Step by Step Solution

1. Step 1: Write the proportion equation
   10,665 : 22,788 = 22,788 : x
2. Step 2: Convert to fraction form
   10,665/22,788 = 22,788/x
3. Step 3: Cross multiply
   10,665x = 22,788 × 22,788
4. Step 4: Simplify right side
   10,665x = 519,292,944
5. Step 5: Solve for x
   x = 519,292,944/10,665
6. Step 6: Final answer
   x = 48,691.32