Finding the Third Proportional to 5,081.50 and 7,824.75

Step by Step Solution

1. Step 1: Write the proportion equation
   5,081.50 : 7,824.75 = 7,824.75 : x
2. Step 2: Convert to fraction form
   5,081.50/7,824.75 = 7,824.75/x
3. Step 3: Cross multiply
   5,081.50x = 7,824.75 × 7,824.75
4. Step 4: Simplify right side
   5,081.50x = 61,226,712.56
5. Step 5: Solve for x
   x = 61,226,712.56/5,081.50
6. Step 6: Final answer
   x = 12,048.94