Finding the Third Proportional to 10,179 and 21,645

Step by Step Solution

1. Step 1: Write the proportion equation
   10,179 : 21,645 = 21,645 : x
2. Step 2: Convert to fraction form
   10,179/21,645 = 21,645/x
3. Step 3: Cross multiply
   10,179x = 21,645 × 21,645
4. Step 4: Simplify right side
   10,179x = 468,506,025
5. Step 5: Solve for x
   x = 468,506,025/10,179
6. Step 6: Final answer
   x = 46,026.72