Finding the Third Proportional to 10,581.75 and 16,746.75

Step by Step Solution

1. Step 1: Write the proportion equation
   10,581.75 : 16,746.75 = 16,746.75 : x
2. Step 2: Convert to fraction form
   10,581.75/16,746.75 = 16,746.75/x
3. Step 3: Cross multiply
   10,581.75x = 16,746.75 × 16,746.75
4. Step 4: Simplify right side
   10,581.75x = 280,453,635.56
5. Step 5: Solve for x
   x = 280,453,635.56/10,581.75
6. Step 6: Final answer
   x = 26,503.52