Finding the Third Proportional to 16,581 and 26,256

Step by Step Solution

1. Step 1: Write the proportion equation
   16,581 : 26,256 = 26,256 : x
2. Step 2: Convert to fraction form
   16,581/26,256 = 26,256/x
3. Step 3: Cross multiply
   16,581x = 26,256 × 26,256
4. Step 4: Simplify right side
   16,581x = 689,377,536
5. Step 5: Solve for x
   x = 689,377,536/16,581
6. Step 6: Final answer
   x = 41,576.35