Finding the Third Proportional to 810.56 and 1,736.06

Step by Step Solution

1. Step 1: Write the proportion equation
   810.56 : 1,736.06 = 1,736.06 : x
2. Step 2: Convert to fraction form
   810.56/1,736.06 = 1,736.06/x
3. Step 3: Cross multiply
   810.56x = 1,736.06 × 1,736.06
4. Step 4: Simplify right side
   810.56x = 3,013,913.00
5. Step 5: Solve for x
   x = 3,013,913.00/810.56
6. Step 6: Final answer
   x = 3,718.30