Finding the Third Proportional to 1,036.13 and 2,159.58

Step by Step Solution

1. Step 1: Write the proportion equation
   1,036.13 : 2,159.58 = 2,159.58 : x
2. Step 2: Convert to fraction form
   1,036.13/2,159.58 = 2,159.58/x
3. Step 3: Cross multiply
   1,036.13x = 2,159.58 × 2,159.58
4. Step 4: Simplify right side
   1,036.13x = 4,663,777.68
5. Step 5: Solve for x
   x = 4,663,777.68/1,036.13
6. Step 6: Final answer
   x = 4,501.17