Finding the Third Proportional to 3,655 and 5,706.50

Step by Step Solution

1. Step 1: Write the proportion equation
   3,655 : 5,706.50 = 5,706.50 : x
2. Step 2: Convert to fraction form
   3,655/5,706.50 = 5,706.50/x
3. Step 3: Cross multiply
   3,655x = 5,706.50 × 5,706.50
4. Step 4: Simplify right side
   3,655x = 32,564,142.25
5. Step 5: Solve for x
   x = 32,564,142.25/3,655
6. Step 6: Final answer
   x = 8,909.48