Finding the Third Proportional to 2,196.50 and 4,640

Step by Step Solution

1. Step 1: Write the proportion equation
   2,196.50 : 4,640 = 4,640 : x
2. Step 2: Convert to fraction form
   2,196.50/4,640 = 4,640/x
3. Step 3: Cross multiply
   2,196.50x = 4,640 × 4,640
4. Step 4: Simplify right side
   2,196.50x = 21,529,600
5. Step 5: Solve for x
   x = 21,529,600/2,196.50
6. Step 6: Final answer
   x = 9,801.78