Finding the Third Proportional to 9,738 and 21,185

Step by Step Solution

1. Step 1: Write the proportion equation
   9,738 : 21,185 = 21,185 : x
2. Step 2: Convert to fraction form
   9,738/21,185 = 21,185/x
3. Step 3: Cross multiply
   9,738x = 21,185 × 21,185
4. Step 4: Simplify right side
   9,738x = 448,804,225
5. Step 5: Solve for x
   x = 448,804,225/9,738
6. Step 6: Final answer
   x = 46,087.93