Finding the Third Proportional to 1,656.84 and 2,395.69

Step by Step Solution

1. Step 1: Write the proportion equation
   1,656.84 : 2,395.69 = 2,395.69 : x
2. Step 2: Convert to fraction form
   1,656.84/2,395.69 = 2,395.69/x
3. Step 3: Cross multiply
   1,656.84x = 2,395.69 × 2,395.69
4. Step 4: Simplify right side
   1,656.84x = 5,739,318.60
5. Step 5: Solve for x
   x = 5,739,318.60/1,656.84
6. Step 6: Final answer
   x = 3,464.01