Finding the Third Proportional to 1,539.84 and 2,269.27

Step by Step Solution

1. Step 1: Write the proportion equation
   1,539.84 : 2,269.27 = 2,269.27 : x
2. Step 2: Convert to fraction form
   1,539.84/2,269.27 = 2,269.27/x
3. Step 3: Cross multiply
   1,539.84x = 2,269.27 × 2,269.27
4. Step 4: Simplify right side
   1,539.84x = 5,149,566.48
5. Step 5: Solve for x
   x = 5,149,566.48/1,539.84
6. Step 6: Final answer
   x = 3,344.21