Finding the Third Proportional to 11,836 and 19,726

Step by Step Solution

1. Step 1: Write the proportion equation
   11,836 : 19,726 = 19,726 : x
2. Step 2: Convert to fraction form
   11,836/19,726 = 19,726/x
3. Step 3: Cross multiply
   11,836x = 19,726 × 19,726
4. Step 4: Simplify right side
   11,836x = 389,115,076
5. Step 5: Solve for x
   x = 389,115,076/11,836
6. Step 6: Final answer
   x = 32,875.56