Finding the Third Proportional to 4,358 and 10,164

Step by Step Solution

1. Step 1: Write the proportion equation
   4,358 : 10,164 = 10,164 : x
2. Step 2: Convert to fraction form
   4,358/10,164 = 10,164/x
3. Step 3: Cross multiply
   4,358x = 10,164 × 10,164
4. Step 4: Simplify right side
   4,358x = 103,306,896
5. Step 5: Solve for x
   x = 103,306,896/4,358
6. Step 6: Final answer
   x = 23,705.12