Finding the Third Proportional to 2,196 and 4,756.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,196 : 4,756.50 = 4,756.50 : x
2. Step 2: Convert to fraction form
   2,196/4,756.50 = 4,756.50/x
3. Step 3: Cross multiply
   2,196x = 4,756.50 × 4,756.50
4. Step 4: Simplify right side
   2,196x = 22,624,292.25
5. Step 5: Solve for x
   x = 22,624,292.25/2,196
6. Step 6: Final answer
   x = 10,302.50