Finding the Third Proportional to 3,478.78 and 7,504.31

Step by Step Solution

1. Step 1: Write the proportion equation
   3,478.78 : 7,504.31 = 7,504.31 : x
2. Step 2: Convert to fraction form
   3,478.78/7,504.31 = 7,504.31/x
3. Step 3: Cross multiply
   3,478.78x = 7,504.31 × 7,504.31
4. Step 4: Simplify right side
   3,478.78x = 56,314,706.10
5. Step 5: Solve for x
   x = 56,314,706.10/3,478.78
6. Step 6: Final answer
   x = 16,188.06