Finding the Third Proportional to 1,643.06 and 3,655.69

Step by Step Solution

1. Step 1: Write the proportion equation
   1,643.06 : 3,655.69 = 3,655.69 : x
2. Step 2: Convert to fraction form
   1,643.06/3,655.69 = 3,655.69/x
3. Step 3: Cross multiply
   1,643.06x = 3,655.69 × 3,655.69
4. Step 4: Simplify right side
   1,643.06x = 13,364,051.10
5. Step 5: Solve for x
   x = 13,364,051.10/1,643.06
6. Step 6: Final answer
   x = 8,133.62