Finding the Third Proportional to 1,092.38 and 1,736.06

Step by Step Solution

1. Step 1: Write the proportion equation
   1,092.38 : 1,736.06 = 1,736.06 : x
2. Step 2: Convert to fraction form
   1,092.38/1,736.06 = 1,736.06/x
3. Step 3: Cross multiply
   1,092.38x = 1,736.06 × 1,736.06
4. Step 4: Simplify right side
   1,092.38x = 3,013,913.00
5. Step 5: Solve for x
   x = 3,013,913.00/1,092.38
6. Step 6: Final answer
   x = 2,759.05