Finding the Third Proportional to 1,757,142 and 2,654,433

Step by Step Solution

1. Step 1: Write the proportion equation
   1,757,142 : 2,654,433 = 2,654,433 : x
2. Step 2: Convert to fraction form
   1,757,142/2,654,433 = 2,654,433/x
3. Step 3: Cross multiply
   1,757,142x = 2,654,433 × 2,654,433
4. Step 4: Simplify right side
   1,757,142x = 7,046,014,551,489
5. Step 5: Solve for x
   x = 7,046,014,551,489/1,757,142
6. Step 6: Final answer
   x = 4,009,928.94