Finding the Third Proportional to 4,658 and 10,194

Step by Step Solution

1. Step 1: Write the proportion equation
   4,658 : 10,194 = 10,194 : x
2. Step 2: Convert to fraction form
   4,658/10,194 = 10,194/x
3. Step 3: Cross multiply
   4,658x = 10,194 × 10,194
4. Step 4: Simplify right side
   4,658x = 103,917,636
5. Step 5: Solve for x
   x = 103,917,636/4,658
6. Step 6: Final answer
   x = 22,309.50