Finding the Third Proportional to 7,804 and 17,334

Step by Step Solution

1. Step 1: Write the proportion equation
   7,804 : 17,334 = 17,334 : x
2. Step 2: Convert to fraction form
   7,804/17,334 = 17,334/x
3. Step 3: Cross multiply
   7,804x = 17,334 × 17,334
4. Step 4: Simplify right side
   7,804x = 300,467,556
5. Step 5: Solve for x
   x = 300,467,556/7,804
6. Step 6: Final answer
   x = 38,501.74