Finding the Third Proportional to 4,656 and 10,174

Step by Step Solution

1. Step 1: Write the proportion equation
   4,656 : 10,174 = 10,174 : x
2. Step 2: Convert to fraction form
   4,656/10,174 = 10,174/x
3. Step 3: Cross multiply
   4,656x = 10,174 × 10,174
4. Step 4: Simplify right side
   4,656x = 103,510,276
5. Step 5: Solve for x
   x = 103,510,276/4,656
6. Step 6: Final answer
   x = 22,231.59