Finding the Third Proportional to 2,372.25 and 3,166.88

Step by Step Solution

1. Step 1: Write the proportion equation
   2,372.25 : 3,166.88 = 3,166.88 : x
2. Step 2: Convert to fraction form
   2,372.25/3,166.88 = 3,166.88/x
3. Step 3: Cross multiply
   2,372.25x = 3,166.88 × 3,166.88
4. Step 4: Simplify right side
   2,372.25x = 10,029,097.27
5. Step 5: Solve for x
   x = 10,029,097.27/2,372.25
6. Step 6: Final answer
   x = 4,227.67