Finding the Third Proportional to 11,026 and 23,780

Step by Step Solution

1. Step 1: Write the proportion equation
   11,026 : 23,780 = 23,780 : x
2. Step 2: Convert to fraction form
   11,026/23,780 = 23,780/x
3. Step 3: Cross multiply
   11,026x = 23,780 × 23,780
4. Step 4: Simplify right side
   11,026x = 565,488,400
5. Step 5: Solve for x
   x = 565,488,400/11,026
6. Step 6: Final answer
   x = 51,286.81