Finding the Third Proportional to 540.56 and 1,269.56

Step by Step Solution

1. Step 1: Write the proportion equation
   540.56 : 1,269.56 = 1,269.56 : x
2. Step 2: Convert to fraction form
   540.56/1,269.56 = 1,269.56/x
3. Step 3: Cross multiply
   540.56x = 1,269.56 × 1,269.56
4. Step 4: Simplify right side
   540.56x = 1,611,788.94
5. Step 5: Solve for x
   x = 1,611,788.94/540.56
6. Step 6: Final answer
   x = 2,981.69