Finding the Third Proportional to 822.50 and 1,300.75

Step by Step Solution

1. Step 1: Write the proportion equation
   822.50 : 1,300.75 = 1,300.75 : x
2. Step 2: Convert to fraction form
   822.50/1,300.75 = 1,300.75/x
3. Step 3: Cross multiply
   822.50x = 1,300.75 × 1,300.75
4. Step 4: Simplify right side
   822.50x = 1,691,950.56
5. Step 5: Solve for x
   x = 1,691,950.56/822.50
6. Step 6: Final answer
   x = 2,057.08