Finding the Third Proportional to 2,045.25 and 3,164.06

Step by Step Solution

1. Step 1: Write the proportion equation
   2,045.25 : 3,164.06 = 3,164.06 : x
2. Step 2: Convert to fraction form
   2,045.25/3,164.06 = 3,164.06/x
3. Step 3: Cross multiply
   2,045.25x = 3,164.06 × 3,164.06
4. Step 4: Simplify right side
   2,045.25x = 10,011,291.50
5. Step 5: Solve for x
   x = 10,011,291.50/2,045.25
6. Step 6: Final answer
   x = 4,894.90