Finding the Third Proportional to 1,659.47 and 2,401.78

Step by Step Solution

1. Step 1: Write the proportion equation
   1,659.47 : 2,401.78 = 2,401.78 : x
2. Step 2: Convert to fraction form
   1,659.47/2,401.78 = 2,401.78/x
3. Step 3: Cross multiply
   1,659.47x = 2,401.78 × 2,401.78
4. Step 4: Simplify right side
   1,659.47x = 5,768,553.17
5. Step 5: Solve for x
   x = 5,768,553.17/1,659.47
6. Step 6: Final answer
   x = 3,476.14