Finding the Third Proportional to 5,819.34 and 12,561.33

Step by Step Solution

1. Step 1: Write the proportion equation
   5,819.34 : 12,561.33 = 12,561.33 : x
2. Step 2: Convert to fraction form
   5,819.34/12,561.33 = 12,561.33/x
3. Step 3: Cross multiply
   5,819.34x = 12,561.33 × 12,561.33
4. Step 4: Simplify right side
   5,819.34x = 157,786,964.26
5. Step 5: Solve for x
   x = 157,786,964.26/5,819.34
6. Step 6: Final answer
   x = 27,114.22