Finding the Third Proportional to 12,378 and 17,802

Step by Step Solution

1. Step 1: Write the proportion equation
   12,378 : 17,802 = 17,802 : x
2. Step 2: Convert to fraction form
   12,378/17,802 = 17,802/x
3. Step 3: Cross multiply
   12,378x = 17,802 × 17,802
4. Step 4: Simplify right side
   12,378x = 316,911,204
5. Step 5: Solve for x
   x = 316,911,204/12,378
6. Step 6: Final answer
   x = 25,602.78