Finding the Third Proportional to 1,680.75 and 3,700.69

Step by Step Solution

1. Step 1: Write the proportion equation
   1,680.75 : 3,700.69 = 3,700.69 : x
2. Step 2: Convert to fraction form
   1,680.75/3,700.69 = 3,700.69/x
3. Step 3: Cross multiply
   1,680.75x = 3,700.69 × 3,700.69
4. Step 4: Simplify right side
   1,680.75x = 13,695,087.97
5. Step 5: Solve for x
   x = 13,695,087.97/1,680.75
6. Step 6: Final answer
   x = 8,148.20