Finding the Third Proportional to 1,213.88 and 2,646.56

Step by Step Solution

1. Step 1: Write the proportion equation
   1,213.88 : 2,646.56 = 2,646.56 : x
2. Step 2: Convert to fraction form
   1,213.88/2,646.56 = 2,646.56/x
3. Step 3: Cross multiply
   1,213.88x = 2,646.56 × 2,646.56
4. Step 4: Simplify right side
   1,213.88x = 7,004,293.07
5. Step 5: Solve for x
   x = 7,004,293.07/1,213.88
6. Step 6: Final answer
   x = 5,770.19