Finding the Third Proportional to 10,156 and 11,272

Step by Step Solution

1. Step 1: Write the proportion equation
   10,156 : 11,272 = 11,272 : x
2. Step 2: Convert to fraction form
   10,156/11,272 = 11,272/x
3. Step 3: Cross multiply
   10,156x = 11,272 × 11,272
4. Step 4: Simplify right side
   10,156x = 127,057,984
5. Step 5: Solve for x
   x = 127,057,984/10,156
6. Step 6: Final answer
   x = 12,510.63