Finding the Third Proportional to 10,194 and 21,798

Step by Step Solution

1. Step 1: Write the proportion equation
   10,194 : 21,798 = 21,798 : x
2. Step 2: Convert to fraction form
   10,194/21,798 = 21,798/x
3. Step 3: Cross multiply
   10,194x = 21,798 × 21,798
4. Step 4: Simplify right side
   10,194x = 475,152,804
5. Step 5: Solve for x
   x = 475,152,804/10,194
6. Step 6: Final answer
   x = 46,611.03