Finding the Third Proportional to 7,786 and 17,036

Step by Step Solution

1. Step 1: Write the proportion equation
   7,786 : 17,036 = 17,036 : x
2. Step 2: Convert to fraction form
   7,786/17,036 = 17,036/x
3. Step 3: Cross multiply
   7,786x = 17,036 × 17,036
4. Step 4: Simplify right side
   7,786x = 290,225,296
5. Step 5: Solve for x
   x = 290,225,296/7,786
6. Step 6: Final answer
   x = 37,275.28