Finding the Third Proportional to 5,763.38 and 12,611.81

Step by Step Solution

1. Step 1: Write the proportion equation
   5,763.38 : 12,611.81 = 12,611.81 : x
2. Step 2: Convert to fraction form
   5,763.38/12,611.81 = 12,611.81/x
3. Step 3: Cross multiply
   5,763.38x = 12,611.81 × 12,611.81
4. Step 4: Simplify right side
   5,763.38x = 159,057,814.54
5. Step 5: Solve for x
   x = 159,057,814.54/5,763.38
6. Step 6: Final answer
   x = 27,598.03