Finding the Third Proportional to 1,586,564 and 2,417,034

Step by Step Solution

1. Step 1: Write the proportion equation
   1,586,564 : 2,417,034 = 2,417,034 : x
2. Step 2: Convert to fraction form
   1,586,564/2,417,034 = 2,417,034/x
3. Step 3: Cross multiply
   1,586,564x = 2,417,034 × 2,417,034
4. Step 4: Simplify right side
   1,586,564x = 5,842,053,357,156
5. Step 5: Solve for x
   x = 5,842,053,357,156/1,586,564
6. Step 6: Final answer
   x = 3,682,204.66