Finding the Third Proportional to 1,153.50 and 1,766.25

Step by Step Solution

1. Step 1: Write the proportion equation
   1,153.50 : 1,766.25 = 1,766.25 : x
2. Step 2: Convert to fraction form
   1,153.50/1,766.25 = 1,766.25/x
3. Step 3: Cross multiply
   1,153.50x = 1,766.25 × 1,766.25
4. Step 4: Simplify right side
   1,153.50x = 3,119,639.06
5. Step 5: Solve for x
   x = 3,119,639.06/1,153.50
6. Step 6: Final answer
   x = 2,704.50