Finding the Third Proportional to 3,781.50 and 4,096.50

Step by Step Solution

1. Step 1: Write the proportion equation
   3,781.50 : 4,096.50 = 4,096.50 : x
2. Step 2: Convert to fraction form
   3,781.50/4,096.50 = 4,096.50/x
3. Step 3: Cross multiply
   3,781.50x = 4,096.50 × 4,096.50
4. Step 4: Simplify right side
   3,781.50x = 16,781,312.25
5. Step 5: Solve for x
   x = 16,781,312.25/3,781.50
6. Step 6: Final answer
   x = 4,437.74