Finding the Third Proportional to 5,669.25 and 12,158.25

Step by Step Solution

1. Step 1: Write the proportion equation
   5,669.25 : 12,158.25 = 12,158.25 : x
2. Step 2: Convert to fraction form
   5,669.25/12,158.25 = 12,158.25/x
3. Step 3: Cross multiply
   5,669.25x = 12,158.25 × 12,158.25
4. Step 4: Simplify right side
   5,669.25x = 147,823,043.06
5. Step 5: Solve for x
   x = 147,823,043.06/5,669.25
6. Step 6: Final answer
   x = 26,074.53