Finding the Third Proportional to 601.31 and 1,036.69

Step by Step Solution

1. Step 1: Write the proportion equation
   601.31 : 1,036.69 = 1,036.69 : x
2. Step 2: Convert to fraction form
   601.31/1,036.69 = 1,036.69/x
3. Step 3: Cross multiply
   601.31x = 1,036.69 × 1,036.69
4. Step 4: Simplify right side
   601.31x = 1,074,720.97
5. Step 5: Solve for x
   x = 1,074,720.97/601.31
6. Step 6: Final answer
   x = 1,787.29