Finding the Third Proportional to 5,623.50 and 8,478.75

Step by Step Solution

1. Step 1: Write the proportion equation
   5,623.50 : 8,478.75 = 8,478.75 : x
2. Step 2: Convert to fraction form
   5,623.50/8,478.75 = 8,478.75/x
3. Step 3: Cross multiply
   5,623.50x = 8,478.75 × 8,478.75
4. Step 4: Simplify right side
   5,623.50x = 71,889,201.56
5. Step 5: Solve for x
   x = 71,889,201.56/5,623.50
6. Step 6: Final answer
   x = 12,783.71