Finding the Third Proportional to 11,264 and 19,862

Step by Step Solution

1. Step 1: Write the proportion equation
   11,264 : 19,862 = 19,862 : x
2. Step 2: Convert to fraction form
   11,264/19,862 = 19,862/x
3. Step 3: Cross multiply
   11,264x = 19,862 × 19,862
4. Step 4: Simplify right side
   11,264x = 394,499,044
5. Step 5: Solve for x
   x = 394,499,044/11,264
6. Step 6: Final answer
   x = 35,023.00