Finding the Third Proportional to 5,856 and 10,780.50

Step by Step Solution

1. Step 1: Write the proportion equation
   5,856 : 10,780.50 = 10,780.50 : x
2. Step 2: Convert to fraction form
   5,856/10,780.50 = 10,780.50/x
3. Step 3: Cross multiply
   5,856x = 10,780.50 × 10,780.50
4. Step 4: Simplify right side
   5,856x = 116,219,180.25
5. Step 5: Solve for x
   x = 116,219,180.25/5,856
6. Step 6: Final answer
   x = 19,846.17