Finding the Third Proportional to 964.50 and 2,276.25

Step by Step Solution

1. Step 1: Write the proportion equation
   964.50 : 2,276.25 = 2,276.25 : x
2. Step 2: Convert to fraction form
   964.50/2,276.25 = 2,276.25/x
3. Step 3: Cross multiply
   964.50x = 2,276.25 × 2,276.25
4. Step 4: Simplify right side
   964.50x = 5,181,314.06
5. Step 5: Solve for x
   x = 5,181,314.06/964.50
6. Step 6: Final answer
   x = 5,372.02