Finding the Third Proportional to 2,502 and 3,747.94

Step by Step Solution

1. Step 1: Write the proportion equation
   2,502 : 3,747.94 = 3,747.94 : x
2. Step 2: Convert to fraction form
   2,502/3,747.94 = 3,747.94/x
3. Step 3: Cross multiply
   2,502x = 3,747.94 × 3,747.94
4. Step 4: Simplify right side
   2,502x = 14,047,035.50
5. Step 5: Solve for x
   x = 14,047,035.50/2,502
6. Step 6: Final answer
   x = 5,614.32