Finding the Third Proportional to 3,730.50 and 5,438.25

Step by Step Solution

1. Step 1: Write the proportion equation
   3,730.50 : 5,438.25 = 5,438.25 : x
2. Step 2: Convert to fraction form
   3,730.50/5,438.25 = 5,438.25/x
3. Step 3: Cross multiply
   3,730.50x = 5,438.25 × 5,438.25
4. Step 4: Simplify right side
   3,730.50x = 29,574,563.06
5. Step 5: Solve for x
   x = 29,574,563.06/3,730.50
6. Step 6: Final answer
   x = 7,927.77