Finding the Third Proportional to 864.50 and 1,706.50

Step by Step Solution

1. Step 1: Write the proportion equation
   864.50 : 1,706.50 = 1,706.50 : x
2. Step 2: Convert to fraction form
   864.50/1,706.50 = 1,706.50/x
3. Step 3: Cross multiply
   864.50x = 1,706.50 × 1,706.50
4. Step 4: Simplify right side
   864.50x = 2,912,142.25
5. Step 5: Solve for x
   x = 2,912,142.25/864.50
6. Step 6: Final answer
   x = 3,368.59