Finding the Third Proportional to 1,036.69 and 2,416.22

Step by Step Solution

1. Step 1: Write the proportion equation
   1,036.69 : 2,416.22 = 2,416.22 : x
2. Step 2: Convert to fraction form
   1,036.69/2,416.22 = 2,416.22/x
3. Step 3: Cross multiply
   1,036.69x = 2,416.22 × 2,416.22
4. Step 4: Simplify right side
   1,036.69x = 5,838,113.05
5. Step 5: Solve for x
   x = 5,838,113.05/1,036.69
6. Step 6: Final answer
   x = 5,631.51