Finding the Third Proportional to 2,093.25 and 3,116.63

Step by Step Solution

1. Step 1: Write the proportion equation
   2,093.25 : 3,116.63 = 3,116.63 : x
2. Step 2: Convert to fraction form
   2,093.25/3,116.63 = 3,116.63/x
3. Step 3: Cross multiply
   2,093.25x = 3,116.63 × 3,116.63
4. Step 4: Simplify right side
   2,093.25x = 9,713,351.39
5. Step 5: Solve for x
   x = 9,713,351.39/2,093.25
6. Step 6: Final answer
   x = 4,640.32