Finding the Third Proportional to 5,680.75 and 8,719.50

Step by Step Solution

1. Step 1: Write the proportion equation
   5,680.75 : 8,719.50 = 8,719.50 : x
2. Step 2: Convert to fraction form
   5,680.75/8,719.50 = 8,719.50/x
3. Step 3: Cross multiply
   5,680.75x = 8,719.50 × 8,719.50
4. Step 4: Simplify right side
   5,680.75x = 76,029,680.25
5. Step 5: Solve for x
   x = 76,029,680.25/5,680.75
6. Step 6: Final answer
   x = 13,383.74