Finding the Third Proportional to 1,010 and 1,072

Step by Step Solution

1. Step 1: Write the proportion equation
   1,010 : 1,072 = 1,072 : x
2. Step 2: Convert to fraction form
   1,010/1,072 = 1,072/x
3. Step 3: Cross multiply
   1,010x = 1,072 × 1,072
4. Step 4: Simplify right side
   1,010x = 1,149,184
5. Step 5: Solve for x
   x = 1,149,184/1,010
6. Step 6: Final answer
   x = 1,137.81