Finding the Third Proportional to 9,739 and 21,188

Step by Step Solution

1. Step 1: Write the proportion equation
   9,739 : 21,188 = 21,188 : x
2. Step 2: Convert to fraction form
   9,739/21,188 = 21,188/x
3. Step 3: Cross multiply
   9,739x = 21,188 × 21,188
4. Step 4: Simplify right side
   9,739x = 448,931,344
5. Step 5: Solve for x
   x = 448,931,344/9,739
6. Step 6: Final answer
   x = 46,096.25