Finding the Third Proportional to 1,681.88 and 2,309.63

Step by Step Solution

1. Step 1: Write the proportion equation
   1,681.88 : 2,309.63 = 2,309.63 : x
2. Step 2: Convert to fraction form
   1,681.88/2,309.63 = 2,309.63/x
3. Step 3: Cross multiply
   1,681.88x = 2,309.63 × 2,309.63
4. Step 4: Simplify right side
   1,681.88x = 5,334,367.64
5. Step 5: Solve for x
   x = 5,334,367.64/1,681.88
6. Step 6: Final answer
   x = 3,171.68