Finding the Third Proportional to 2,633.59 and 5,642.03

Step by Step Solution

1. Step 1: Write the proportion equation
   2,633.59 : 5,642.03 = 5,642.03 : x
2. Step 2: Convert to fraction form
   2,633.59/5,642.03 = 5,642.03/x
3. Step 3: Cross multiply
   2,633.59x = 5,642.03 × 5,642.03
4. Step 4: Simplify right side
   2,633.59x = 31,832,516.63
5. Step 5: Solve for x
   x = 31,832,516.63/2,633.59
6. Step 6: Final answer
   x = 12,087.10