Finding the Third Proportional to 3,684.94 and 5,634.56

Step by Step Solution

1. Step 1: Write the proportion equation
   3,684.94 : 5,634.56 = 5,634.56 : x
2. Step 2: Convert to fraction form
   3,684.94/5,634.56 = 5,634.56/x
3. Step 3: Cross multiply
   3,684.94x = 5,634.56 × 5,634.56
4. Step 4: Simplify right side
   3,684.94x = 31,748,294.57
5. Step 5: Solve for x
   x = 31,748,294.57/3,684.94
6. Step 6: Final answer
   x = 8,615.69