Finding the Third Proportional to 3,100.50 and 4,160.25

Step by Step Solution

1. Step 1: Write the proportion equation
   3,100.50 : 4,160.25 = 4,160.25 : x
2. Step 2: Convert to fraction form
   3,100.50/4,160.25 = 4,160.25/x
3. Step 3: Cross multiply
   3,100.50x = 4,160.25 × 4,160.25
4. Step 4: Simplify right side
   3,100.50x = 17,307,680.06
5. Step 5: Solve for x
   x = 17,307,680.06/3,100.50
6. Step 6: Final answer
   x = 5,582.22