Finding the Third Proportional to 1,586,537 and 2,417,005

Step by Step Solution

1. Step 1: Write the proportion equation
   1,586,537 : 2,417,005 = 2,417,005 : x
2. Step 2: Convert to fraction form
   1,586,537/2,417,005 = 2,417,005/x
3. Step 3: Cross multiply
   1,586,537x = 2,417,005 × 2,417,005
4. Step 4: Simplify right side
   1,586,537x = 5,841,913,170,025
5. Step 5: Solve for x
   x = 5,841,913,170,025/1,586,537
6. Step 6: Final answer
   x = 3,682,178.97