Finding the Third Proportional to 1,324 and 2,796.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,324 : 2,796.50 = 2,796.50 : x
2. Step 2: Convert to fraction form
   1,324/2,796.50 = 2,796.50/x
3. Step 3: Cross multiply
   1,324x = 2,796.50 × 2,796.50
4. Step 4: Simplify right side
   1,324x = 7,820,412.25
5. Step 5: Solve for x
   x = 7,820,412.25/1,324
6. Step 6: Final answer
   x = 5,906.66