Finding the Third Proportional to 1,378.50 and 3,193.88

Step by Step Solution

1. Step 1: Write the proportion equation
   1,378.50 : 3,193.88 = 3,193.88 : x
2. Step 2: Convert to fraction form
   1,378.50/3,193.88 = 3,193.88/x
3. Step 3: Cross multiply
   1,378.50x = 3,193.88 × 3,193.88
4. Step 4: Simplify right side
   1,378.50x = 10,200,837.52
5. Step 5: Solve for x
   x = 10,200,837.52/1,378.50
6. Step 6: Final answer
   x = 7,399.95