Finding the Third Proportional to 1,680.50 and 3,613

Step by Step Solution

1. Step 1: Write the proportion equation
   1,680.50 : 3,613 = 3,613 : x
2. Step 2: Convert to fraction form
   1,680.50/3,613 = 3,613/x
3. Step 3: Cross multiply
   1,680.50x = 3,613 × 3,613
4. Step 4: Simplify right side
   1,680.50x = 13,053,769
5. Step 5: Solve for x
   x = 13,053,769/1,680.50
6. Step 6: Final answer
   x = 7,767.79