Finding the Third Proportional to 13,188 and 18,426

Step by Step Solution

1. Step 1: Write the proportion equation
   13,188 : 18,426 = 18,426 : x
2. Step 2: Convert to fraction form
   13,188/18,426 = 18,426/x
3. Step 3: Cross multiply
   13,188x = 18,426 × 18,426
4. Step 4: Simplify right side
   13,188x = 339,517,476
5. Step 5: Solve for x
   x = 339,517,476/13,188
6. Step 6: Final answer
   x = 25,744.42