Finding the Third Proportional to 10,436 and 22,646

Step by Step Solution

1. Step 1: Write the proportion equation
   10,436 : 22,646 = 22,646 : x
2. Step 2: Convert to fraction form
   10,436/22,646 = 22,646/x
3. Step 3: Cross multiply
   10,436x = 22,646 × 22,646
4. Step 4: Simplify right side
   10,436x = 512,841,316
5. Step 5: Solve for x
   x = 512,841,316/10,436
6. Step 6: Final answer
   x = 49,141.56