Finding the Third Proportional to 10,370 and 22,846

Step by Step Solution

1. Step 1: Write the proportion equation
   10,370 : 22,846 = 22,846 : x
2. Step 2: Convert to fraction form
   10,370/22,846 = 22,846/x
3. Step 3: Cross multiply
   10,370x = 22,846 × 22,846
4. Step 4: Simplify right side
   10,370x = 521,939,716
5. Step 5: Solve for x
   x = 521,939,716/10,370
6. Step 6: Final answer
   x = 50,331.70