Finding the Third Proportional to 10,846 and 22,164

Step by Step Solution

1. Step 1: Write the proportion equation
   10,846 : 22,164 = 22,164 : x
2. Step 2: Convert to fraction form
   10,846/22,164 = 22,164/x
3. Step 3: Cross multiply
   10,846x = 22,164 × 22,164
4. Step 4: Simplify right side
   10,846x = 491,242,896
5. Step 5: Solve for x
   x = 491,242,896/10,846
6. Step 6: Final answer
   x = 45,292.54