Finding the Third Proportional to 3,025.50 and 4,166.25

Step by Step Solution

1. Step 1: Write the proportion equation
   3,025.50 : 4,166.25 = 4,166.25 : x
2. Step 2: Convert to fraction form
   3,025.50/4,166.25 = 4,166.25/x
3. Step 3: Cross multiply
   3,025.50x = 4,166.25 × 4,166.25
4. Step 4: Simplify right side
   3,025.50x = 17,357,639.06
5. Step 5: Solve for x
   x = 17,357,639.06/3,025.50
6. Step 6: Final answer
   x = 5,737.11