Finding the Third Proportional to 605.50 and 1,322.38

Step by Step Solution

1. Step 1: Write the proportion equation
   605.50 : 1,322.38 = 1,322.38 : x
2. Step 2: Convert to fraction form
   605.50/1,322.38 = 1,322.38/x
3. Step 3: Cross multiply
   605.50x = 1,322.38 × 1,322.38
4. Step 4: Simplify right side
   605.50x = 1,748,675.64
5. Step 5: Solve for x
   x = 1,748,675.64/605.50
6. Step 6: Final answer
   x = 2,887.99