Finding the Third Proportional to 1,683 and 3,632.06

Step by Step Solution

1. Step 1: Write the proportion equation
   1,683 : 3,632.06 = 3,632.06 : x
2. Step 2: Convert to fraction form
   1,683/3,632.06 = 3,632.06/x
3. Step 3: Cross multiply
   1,683x = 3,632.06 × 3,632.06
4. Step 4: Simplify right side
   1,683x = 13,191,878.00
5. Step 5: Solve for x
   x = 13,191,878.00/1,683
6. Step 6: Final answer
   x = 7,838.31