Finding the Third Proportional to 2,287.69 and 2,970.56

Step by Step Solution

1. Step 1: Write the proportion equation
   2,287.69 : 2,970.56 = 2,970.56 : x
2. Step 2: Convert to fraction form
   2,287.69/2,970.56 = 2,970.56/x
3. Step 3: Cross multiply
   2,287.69x = 2,970.56 × 2,970.56
4. Step 4: Simplify right side
   2,287.69x = 8,824,241.57
5. Step 5: Solve for x
   x = 8,824,241.57/2,287.69
6. Step 6: Final answer
   x = 3,857.28