Finding the Third Proportional to 1,681.69 and 2,593.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,681.69 : 2,593.50 = 2,593.50 : x
2. Step 2: Convert to fraction form
   1,681.69/2,593.50 = 2,593.50/x
3. Step 3: Cross multiply
   1,681.69x = 2,593.50 × 2,593.50
4. Step 4: Simplify right side
   1,681.69x = 6,726,242.25
5. Step 5: Solve for x
   x = 6,726,242.25/1,681.69
6. Step 6: Final answer
   x = 3,999.70