Finding the Third Proportional to 696.50 and 756.50

Step by Step Solution

1. Step 1: Write the proportion equation
   696.50 : 756.50 = 756.50 : x
2. Step 2: Convert to fraction form
   696.50/756.50 = 756.50/x
3. Step 3: Cross multiply
   696.50x = 756.50 × 756.50
4. Step 4: Simplify right side
   696.50x = 572,292.25
5. Step 5: Solve for x
   x = 572,292.25/696.50
6. Step 6: Final answer
   x = 821.67