Finding the Third Proportional to 10,186 and 21,603

Step by Step Solution

1. Step 1: Write the proportion equation
   10,186 : 21,603 = 21,603 : x
2. Step 2: Convert to fraction form
   10,186/21,603 = 21,603/x
3. Step 3: Cross multiply
   10,186x = 21,603 × 21,603
4. Step 4: Simplify right side
   10,186x = 466,689,609
5. Step 5: Solve for x
   x = 466,689,609/10,186
6. Step 6: Final answer
   x = 45,816.77