Finding the Third Proportional to 10,772 and 12,176

Step by Step Solution

1. Step 1: Write the proportion equation
   10,772 : 12,176 = 12,176 : x
2. Step 2: Convert to fraction form
   10,772/12,176 = 12,176/x
3. Step 3: Cross multiply
   10,772x = 12,176 × 12,176
4. Step 4: Simplify right side
   10,772x = 148,254,976
5. Step 5: Solve for x
   x = 148,254,976/10,772
6. Step 6: Final answer
   x = 13,762.99