Finding the Third Proportional to 1,681.50 and 3,642

Step by Step Solution

1. Step 1: Write the proportion equation
   1,681.50 : 3,642 = 3,642 : x
2. Step 2: Convert to fraction form
   1,681.50/3,642 = 3,642/x
3. Step 3: Cross multiply
   1,681.50x = 3,642 × 3,642
4. Step 4: Simplify right side
   1,681.50x = 13,264,164
5. Step 5: Solve for x
   x = 13,264,164/1,681.50
6. Step 6: Final answer
   x = 7,888.29