Finding the Third Proportional to 543.38 and 1,300.69

Step by Step Solution

1. Step 1: Write the proportion equation
   543.38 : 1,300.69 = 1,300.69 : x
2. Step 2: Convert to fraction form
   543.38/1,300.69 = 1,300.69/x
3. Step 3: Cross multiply
   543.38x = 1,300.69 × 1,300.69
4. Step 4: Simplify right side
   543.38x = 1,691,787.97
5. Step 5: Solve for x
   x = 1,691,787.97/543.38
6. Step 6: Final answer
   x = 3,113.48