Finding the Third Proportional to 10,152 and 22,311

Step by Step Solution

1. Step 1: Write the proportion equation
   10,152 : 22,311 = 22,311 : x
2. Step 2: Convert to fraction form
   10,152/22,311 = 22,311/x
3. Step 3: Cross multiply
   10,152x = 22,311 × 22,311
4. Step 4: Simplify right side
   10,152x = 497,780,721
5. Step 5: Solve for x
   x = 497,780,721/10,152
6. Step 6: Final answer
   x = 49,032.77