Finding the Third Proportional to 826.50 and 1,212

Step by Step Solution

1. Step 1: Write the proportion equation
   826.50 : 1,212 = 1,212 : x
2. Step 2: Convert to fraction form
   826.50/1,212 = 1,212/x
3. Step 3: Cross multiply
   826.50x = 1,212 × 1,212
4. Step 4: Simplify right side
   826.50x = 1,468,944
5. Step 5: Solve for x
   x = 1,468,944/826.50
6. Step 6: Final answer
   x = 1,777.31