Finding the Third Proportional to 9,804 and 13,785

Step by Step Solution

1. Step 1: Write the proportion equation
   9,804 : 13,785 = 13,785 : x
2. Step 2: Convert to fraction form
   9,804/13,785 = 13,785/x
3. Step 3: Cross multiply
   9,804x = 13,785 × 13,785
4. Step 4: Simplify right side
   9,804x = 190,026,225
5. Step 5: Solve for x
   x = 190,026,225/9,804
6. Step 6: Final answer
   x = 19,382.52