Finding the Third Proportional to 10,380 and 16,154

Step by Step Solution

1. Step 1: Write the proportion equation
   10,380 : 16,154 = 16,154 : x
2. Step 2: Convert to fraction form
   10,380/16,154 = 16,154/x
3. Step 3: Cross multiply
   10,380x = 16,154 × 16,154
4. Step 4: Simplify right side
   10,380x = 260,951,716
5. Step 5: Solve for x
   x = 260,951,716/10,380
6. Step 6: Final answer
   x = 25,139.86