Finding the Third Proportional to 706.50 and 816.50

Step by Step Solution

1. Step 1: Write the proportion equation
   706.50 : 816.50 = 816.50 : x
2. Step 2: Convert to fraction form
   706.50/816.50 = 816.50/x
3. Step 3: Cross multiply
   706.50x = 816.50 × 816.50
4. Step 4: Simplify right side
   706.50x = 666,672.25
5. Step 5: Solve for x
   x = 666,672.25/706.50
6. Step 6: Final answer
   x = 943.63