Finding the Third Proportional to 1,036 and 1,501

Step by Step Solution

1. Step 1: Write the proportion equation
   1,036 : 1,501 = 1,501 : x
2. Step 2: Convert to fraction form
   1,036/1,501 = 1,501/x
3. Step 3: Cross multiply
   1,036x = 1,501 × 1,501
4. Step 4: Simplify right side
   1,036x = 2,253,001
5. Step 5: Solve for x
   x = 2,253,001/1,036
6. Step 6: Final answer
   x = 2,174.71