Finding the Third Proportional to 3,781.50 and 4,200

Step by Step Solution

1. Step 1: Write the proportion equation
   3,781.50 : 4,200 = 4,200 : x
2. Step 2: Convert to fraction form
   3,781.50/4,200 = 4,200/x
3. Step 3: Cross multiply
   3,781.50x = 4,200 × 4,200
4. Step 4: Simplify right side
   3,781.50x = 17,640,000
5. Step 5: Solve for x
   x = 17,640,000/3,781.50
6. Step 6: Final answer
   x = 4,664.82