Finding the Third Proportional to 1,152.14 and 2,706.05

Step by Step Solution

1. Step 1: Write the proportion equation
   1,152.14 : 2,706.05 = 2,706.05 : x
2. Step 2: Convert to fraction form
   1,152.14/2,706.05 = 2,706.05/x
3. Step 3: Cross multiply
   1,152.14x = 2,706.05 × 2,706.05
4. Step 4: Simplify right side
   1,152.14x = 7,322,689.69
5. Step 5: Solve for x
   x = 7,322,689.69/1,152.14
6. Step 6: Final answer
   x = 6,355.73