Finding the Third Proportional to 1,926 and 3,164.06

Step by Step Solution

1. Step 1: Write the proportion equation
   1,926 : 3,164.06 = 3,164.06 : x
2. Step 2: Convert to fraction form
   1,926/3,164.06 = 3,164.06/x
3. Step 3: Cross multiply
   1,926x = 3,164.06 × 3,164.06
4. Step 4: Simplify right side
   1,926x = 10,011,291.50
5. Step 5: Solve for x
   x = 10,011,291.50/1,926
6. Step 6: Final answer
   x = 5,197.97