Finding the Third Proportional to 10,678 and 23,154

Step by Step Solution

1. Step 1: Write the proportion equation
   10,678 : 23,154 = 23,154 : x
2. Step 2: Convert to fraction form
   10,678/23,154 = 23,154/x
3. Step 3: Cross multiply
   10,678x = 23,154 × 23,154
4. Step 4: Simplify right side
   10,678x = 536,107,716
5. Step 5: Solve for x
   x = 536,107,716/10,678
6. Step 6: Final answer
   x = 50,206.75