Finding the Third Proportional to 11,838 and 19,729

Step by Step Solution

1. Step 1: Write the proportion equation
   11,838 : 19,729 = 19,729 : x
2. Step 2: Convert to fraction form
   11,838/19,729 = 19,729/x
3. Step 3: Cross multiply
   11,838x = 19,729 × 19,729
4. Step 4: Simplify right side
   11,838x = 389,233,441
5. Step 5: Solve for x
   x = 389,233,441/11,838
6. Step 6: Final answer
   x = 32,880.00