Finding the Third Proportional to 5,737.82 and 12,164.45

Step by Step Solution

1. Step 1: Write the proportion equation
   5,737.82 : 12,164.45 = 12,164.45 : x
2. Step 2: Convert to fraction form
   5,737.82/12,164.45 = 12,164.45/x
3. Step 3: Cross multiply
   5,737.82x = 12,164.45 × 12,164.45
4. Step 4: Simplify right side
   5,737.82x = 147,973,824.80
5. Step 5: Solve for x
   x = 147,973,824.80/5,737.82
6. Step 6: Final answer
   x = 25,789.22