Finding the Third Proportional to 1,634.81 and 3,494.06

Step by Step Solution

1. Step 1: Write the proportion equation
   1,634.81 : 3,494.06 = 3,494.06 : x
2. Step 2: Convert to fraction form
   1,634.81/3,494.06 = 3,494.06/x
3. Step 3: Cross multiply
   1,634.81x = 3,494.06 × 3,494.06
4. Step 4: Simplify right side
   1,634.81x = 12,208,472.75
5. Step 5: Solve for x
   x = 12,208,472.75/1,634.81
6. Step 6: Final answer
   x = 7,467.81