Finding the Third Proportional to 1,036.88 and 1,642.13

Step by Step Solution

1. Step 1: Write the proportion equation
   1,036.88 : 1,642.13 = 1,642.13 : x
2. Step 2: Convert to fraction form
   1,036.88/1,642.13 = 1,642.13/x
3. Step 3: Cross multiply
   1,036.88x = 1,642.13 × 1,642.13
4. Step 4: Simplify right side
   1,036.88x = 2,696,574.52
5. Step 5: Solve for x
   x = 2,696,574.52/1,036.88
6. Step 6: Final answer
   x = 2,600.67