Finding the Third Proportional to 3,502 and 3,812.50

Step by Step Solution

1. Step 1: Write the proportion equation
   3,502 : 3,812.50 = 3,812.50 : x
2. Step 2: Convert to fraction form
   3,502/3,812.50 = 3,812.50/x
3. Step 3: Cross multiply
   3,502x = 3,812.50 × 3,812.50
4. Step 4: Simplify right side
   3,502x = 14,535,156.25
5. Step 5: Solve for x
   x = 14,535,156.25/3,502
6. Step 6: Final answer
   x = 4,150.53