Finding the Third Proportional to 4,643.50 and 10,164.50

Step by Step Solution

1. Step 1: Write the proportion equation
   4,643.50 : 10,164.50 = 10,164.50 : x
2. Step 2: Convert to fraction form
   4,643.50/10,164.50 = 10,164.50/x
3. Step 3: Cross multiply
   4,643.50x = 10,164.50 × 10,164.50
4. Step 4: Simplify right side
   4,643.50x = 103,317,060.25
5. Step 5: Solve for x
   x = 103,317,060.25/4,643.50
6. Step 6: Final answer
   x = 22,249.82