Finding the Third Proportional to 1,586,534 and 2,417,000

Step by Step Solution

1. Step 1: Write the proportion equation
   1,586,534 : 2,417,000 = 2,417,000 : x
2. Step 2: Convert to fraction form
   1,586,534/2,417,000 = 2,417,000/x
3. Step 3: Cross multiply
   1,586,534x = 2,417,000 × 2,417,000
4. Step 4: Simplify right side
   1,586,534x = 5,841,889,000,000
5. Step 5: Solve for x
   x = 5,841,889,000,000/1,586,534
6. Step 6: Final answer
   x = 3,682,170.69