Finding the Third Proportional to 5,213.25 and 10,858.50

Step by Step Solution

1. Step 1: Write the proportion equation
   5,213.25 : 10,858.50 = 10,858.50 : x
2. Step 2: Convert to fraction form
   5,213.25/10,858.50 = 10,858.50/x
3. Step 3: Cross multiply
   5,213.25x = 10,858.50 × 10,858.50
4. Step 4: Simplify right side
   5,213.25x = 117,907,022.25
5. Step 5: Solve for x
   x = 117,907,022.25/5,213.25
6. Step 6: Final answer
   x = 22,616.80