Finding the Third Proportional to 2,407 and 3,694.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,407 : 3,694.50 = 3,694.50 : x
2. Step 2: Convert to fraction form
   2,407/3,694.50 = 3,694.50/x
3. Step 3: Cross multiply
   2,407x = 3,694.50 × 3,694.50
4. Step 4: Simplify right side
   2,407x = 13,649,330.25
5. Step 5: Solve for x
   x = 13,649,330.25/2,407
6. Step 6: Final answer
   x = 5,670.68