Finding the Third Proportional to 1,638.75 and 2,317.31

Step by Step Solution

1. Step 1: Write the proportion equation
   1,638.75 : 2,317.31 = 2,317.31 : x
2. Step 2: Convert to fraction form
   1,638.75/2,317.31 = 2,317.31/x
3. Step 3: Cross multiply
   1,638.75x = 2,317.31 × 2,317.31
4. Step 4: Simplify right side
   1,638.75x = 5,369,937.22
5. Step 5: Solve for x
   x = 5,369,937.22/1,638.75
6. Step 6: Final answer
   x = 3,276.85