Finding the Third Proportional to 706.50 and 813.50

Step by Step Solution

1. Step 1: Write the proportion equation
   706.50 : 813.50 = 813.50 : x
2. Step 2: Convert to fraction form
   706.50/813.50 = 813.50/x
3. Step 3: Cross multiply
   706.50x = 813.50 × 813.50
4. Step 4: Simplify right side
   706.50x = 661,782.25
5. Step 5: Solve for x
   x = 661,782.25/706.50
6. Step 6: Final answer
   x = 936.71