Finding the Third Proportional to 1,213.38 and 2,599.69

Step by Step Solution

1. Step 1: Write the proportion equation
   1,213.38 : 2,599.69 = 2,599.69 : x
2. Step 2: Convert to fraction form
   1,213.38/2,599.69 = 2,599.69/x
3. Step 3: Cross multiply
   1,213.38x = 2,599.69 × 2,599.69
4. Step 4: Simplify right side
   1,213.38x = 6,758,375.10
5. Step 5: Solve for x
   x = 6,758,375.10/1,213.38
6. Step 6: Final answer
   x = 5,569.90