Finding the Third Proportional to 976.50 and 2,128.25

Step by Step Solution

1. Step 1: Write the proportion equation
   976.50 : 2,128.25 = 2,128.25 : x
2. Step 2: Convert to fraction form
   976.50/2,128.25 = 2,128.25/x
3. Step 3: Cross multiply
   976.50x = 2,128.25 × 2,128.25
4. Step 4: Simplify right side
   976.50x = 4,529,448.06
5. Step 5: Solve for x
   x = 4,529,448.06/976.50
6. Step 6: Final answer
   x = 4,638.45