Finding the Third Proportional to 965.72 and 2,109.47

Step by Step Solution

1. Step 1: Write the proportion equation
   965.72 : 2,109.47 = 2,109.47 : x
2. Step 2: Convert to fraction form
   965.72/2,109.47 = 2,109.47/x
3. Step 3: Cross multiply
   965.72x = 2,109.47 × 2,109.47
4. Step 4: Simplify right side
   965.72x = 4,449,858.41
5. Step 5: Solve for x
   x = 4,449,858.41/965.72
6. Step 6: Final answer
   x = 4,607.82