Finding the Third Proportional to 1,153.50 and 2,708.06

Step by Step Solution

1. Step 1: Write the proportion equation
   1,153.50 : 2,708.06 = 2,708.06 : x
2. Step 2: Convert to fraction form
   1,153.50/2,708.06 = 2,708.06/x
3. Step 3: Cross multiply
   1,153.50x = 2,708.06 × 2,708.06
4. Step 4: Simplify right side
   1,153.50x = 7,333,602.50
5. Step 5: Solve for x
   x = 7,333,602.50/1,153.50
6. Step 6: Final answer
   x = 6,357.70