Finding the Third Proportional to 1,033.31 and 1,184.06

Step by Step Solution

1. Step 1: Write the proportion equation
   1,033.31 : 1,184.06 = 1,184.06 : x
2. Step 2: Convert to fraction form
   1,033.31/1,184.06 = 1,184.06/x
3. Step 3: Cross multiply
   1,033.31x = 1,184.06 × 1,184.06
4. Step 4: Simplify right side
   1,033.31x = 1,402,004.00
5. Step 5: Solve for x
   x = 1,402,004.00/1,033.31
6. Step 6: Final answer
   x = 1,356.81