Finding the Third Proportional to 1,635.61 and 3,407.91

Step by Step Solution

1. Step 1: Write the proportion equation
   1,635.61 : 3,407.91 = 3,407.91 : x
2. Step 2: Convert to fraction form
   1,635.61/3,407.91 = 3,407.91/x
3. Step 3: Cross multiply
   1,635.61x = 3,407.91 × 3,407.91
4. Step 4: Simplify right side
   1,635.61x = 11,613,825.01
5. Step 5: Solve for x
   x = 11,613,825.01/1,635.61
6. Step 6: Final answer
   x = 7,100.61