Finding the Third Proportional to 10,422 and 19,188

Step by Step Solution

1. Step 1: Write the proportion equation
   10,422 : 19,188 = 19,188 : x
2. Step 2: Convert to fraction form
   10,422/19,188 = 19,188/x
3. Step 3: Cross multiply
   10,422x = 19,188 × 19,188
4. Step 4: Simplify right side
   10,422x = 368,179,344
5. Step 5: Solve for x
   x = 368,179,344/10,422
6. Step 6: Final answer
   x = 35,327.13