Finding the Third Proportional to 3,510 and 3,820.50

Step by Step Solution

1. Step 1: Write the proportion equation
   3,510 : 3,820.50 = 3,820.50 : x
2. Step 2: Convert to fraction form
   3,510/3,820.50 = 3,820.50/x
3. Step 3: Cross multiply
   3,510x = 3,820.50 × 3,820.50
4. Step 4: Simplify right side
   3,510x = 14,596,220.25
5. Step 5: Solve for x
   x = 14,596,220.25/3,510
6. Step 6: Final answer
   x = 4,158.47