Finding the Third Proportional to 9,709 and 21,194

Step by Step Solution

1. Step 1: Write the proportion equation
   9,709 : 21,194 = 21,194 : x
2. Step 2: Convert to fraction form
   9,709/21,194 = 21,194/x
3. Step 3: Cross multiply
   9,709x = 21,194 × 21,194
4. Step 4: Simplify right side
   9,709x = 449,185,636
5. Step 5: Solve for x
   x = 449,185,636/9,709
6. Step 6: Final answer
   x = 46,264.87