Finding the Third Proportional to 12,116 and 17,794

Step by Step Solution

1. Step 1: Write the proportion equation
   12,116 : 17,794 = 17,794 : x
2. Step 2: Convert to fraction form
   12,116/17,794 = 17,794/x
3. Step 3: Cross multiply
   12,116x = 17,794 × 17,794
4. Step 4: Simplify right side
   12,116x = 316,626,436
5. Step 5: Solve for x
   x = 316,626,436/12,116
6. Step 6: Final answer
   x = 26,132.92