Finding the Third Proportional to 4,658 and 10,354

Step by Step Solution

1. Step 1: Write the proportion equation
   4,658 : 10,354 = 10,354 : x
2. Step 2: Convert to fraction form
   4,658/10,354 = 10,354/x
3. Step 3: Cross multiply
   4,658x = 10,354 × 10,354
4. Step 4: Simplify right side
   4,658x = 107,205,316
5. Step 5: Solve for x
   x = 107,205,316/4,658
6. Step 6: Final answer
   x = 23,015.31