Finding the Third Proportional to 21,186 and 45,684

Step by Step Solution

1. Step 1: Write the proportion equation
   21,186 : 45,684 = 45,684 : x
2. Step 2: Convert to fraction form
   21,186/45,684 = 45,684/x
3. Step 3: Cross multiply
   21,186x = 45,684 × 45,684
4. Step 4: Simplify right side
   21,186x = 2,087,027,856
5. Step 5: Solve for x
   x = 2,087,027,856/21,186
6. Step 6: Final answer
   x = 98,509.76