Finding the Third Proportional to 2,611.83 and 5,588.16

Step by Step Solution

1. Step 1: Write the proportion equation
   2,611.83 : 5,588.16 = 5,588.16 : x
2. Step 2: Convert to fraction form
   2,611.83/5,588.16 = 5,588.16/x
3. Step 3: Cross multiply
   2,611.83x = 5,588.16 × 5,588.16
4. Step 4: Simplify right side
   2,611.83x = 31,227,490.27
5. Step 5: Solve for x
   x = 31,227,490.27/2,611.83
6. Step 6: Final answer
   x = 11,956.18