Finding the Third Proportional to 964.50 and 2,029.50

Step by Step Solution

1. Step 1: Write the proportion equation
   964.50 : 2,029.50 = 2,029.50 : x
2. Step 2: Convert to fraction form
   964.50/2,029.50 = 2,029.50/x
3. Step 3: Cross multiply
   964.50x = 2,029.50 × 2,029.50
4. Step 4: Simplify right side
   964.50x = 4,118,870.25
5. Step 5: Solve for x
   x = 4,118,870.25/964.50
6. Step 6: Final answer
   x = 4,270.47