Finding the Third Proportional to 8,900 and 10,772

Step by Step Solution

1. Step 1: Write the proportion equation
   8,900 : 10,772 = 10,772 : x
2. Step 2: Convert to fraction form
   8,900/10,772 = 10,772/x
3. Step 3: Cross multiply
   8,900x = 10,772 × 10,772
4. Step 4: Simplify right side
   8,900x = 116,035,984
5. Step 5: Solve for x
   x = 116,035,984/8,900
6. Step 6: Final answer
   x = 13,037.75