Finding the Third Proportional to 13,178 and 18,308

Step by Step Solution

1. Step 1: Write the proportion equation
   13,178 : 18,308 = 18,308 : x
2. Step 2: Convert to fraction form
   13,178/18,308 = 18,308/x
3. Step 3: Cross multiply
   13,178x = 18,308 × 18,308
4. Step 4: Simplify right side
   13,178x = 335,182,864
5. Step 5: Solve for x
   x = 335,182,864/13,178
6. Step 6: Final answer
   x = 25,435.03