Finding the Third Proportional to 5,216.91 and 7,783.59

Step by Step Solution

1. Step 1: Write the proportion equation
   5,216.91 : 7,783.59 = 7,783.59 : x
2. Step 2: Convert to fraction form
   5,216.91/7,783.59 = 7,783.59/x
3. Step 3: Cross multiply
   5,216.91x = 7,783.59 × 7,783.59
4. Step 4: Simplify right side
   5,216.91x = 60,584,331.67
5. Step 5: Solve for x
   x = 60,584,331.67/5,216.91
6. Step 6: Final answer
   x = 11,613.08