Finding the Third Proportional to 2,606.63 and 5,796.13

Step by Step Solution

1. Step 1: Write the proportion equation
   2,606.63 : 5,796.13 = 5,796.13 : x
2. Step 2: Convert to fraction form
   2,606.63/5,796.13 = 5,796.13/x
3. Step 3: Cross multiply
   2,606.63x = 5,796.13 × 5,796.13
4. Step 4: Simplify right side
   2,606.63x = 33,595,065.02
5. Step 5: Solve for x
   x = 33,595,065.02/2,606.63
6. Step 6: Final answer
   x = 12,888.34