Finding the Third Proportional to 2,074.50 and 3,212.06

Step by Step Solution

1. Step 1: Write the proportion equation
   2,074.50 : 3,212.06 = 3,212.06 : x
2. Step 2: Convert to fraction form
   2,074.50/3,212.06 = 3,212.06/x
3. Step 3: Cross multiply
   2,074.50x = 3,212.06 × 3,212.06
4. Step 4: Simplify right side
   2,074.50x = 10,317,345.50
5. Step 5: Solve for x
   x = 10,317,345.50/2,074.50
6. Step 6: Final answer
   x = 4,973.41