Finding the Third Proportional to 1,180.50 and 2,816.25

Step by Step Solution

1. Step 1: Write the proportion equation
   1,180.50 : 2,816.25 = 2,816.25 : x
2. Step 2: Convert to fraction form
   1,180.50/2,816.25 = 2,816.25/x
3. Step 3: Cross multiply
   1,180.50x = 2,816.25 × 2,816.25
4. Step 4: Simplify right side
   1,180.50x = 7,931,264.06
5. Step 5: Solve for x
   x = 7,931,264.06/1,180.50
6. Step 6: Final answer
   x = 6,718.56