Finding the Third Proportional to 782.50 and 894.50

Step by Step Solution

1. Step 1: Write the proportion equation
   782.50 : 894.50 = 894.50 : x
2. Step 2: Convert to fraction form
   782.50/894.50 = 894.50/x
3. Step 3: Cross multiply
   782.50x = 894.50 × 894.50
4. Step 4: Simplify right side
   782.50x = 800,130.25
5. Step 5: Solve for x
   x = 800,130.25/782.50
6. Step 6: Final answer
   x = 1,022.53