Finding the Third Proportional to 1,681 and 3,233.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,681 : 3,233.50 = 3,233.50 : x
2. Step 2: Convert to fraction form
   1,681/3,233.50 = 3,233.50/x
3. Step 3: Cross multiply
   1,681x = 3,233.50 × 3,233.50
4. Step 4: Simplify right side
   1,681x = 10,455,522.25
5. Step 5: Solve for x
   x = 10,455,522.25/1,681
6. Step 6: Final answer
   x = 6,219.82