Finding the Third Proportional to 10,772 and 16,916

Step by Step Solution

1. Step 1: Write the proportion equation
   10,772 : 16,916 = 16,916 : x
2. Step 2: Convert to fraction form
   10,772/16,916 = 16,916/x
3. Step 3: Cross multiply
   10,772x = 16,916 × 16,916
4. Step 4: Simplify right side
   10,772x = 286,151,056
5. Step 5: Solve for x
   x = 286,151,056/10,772
6. Step 6: Final answer
   x = 26,564.34