Finding the Third Proportional to 2,333.63 and 3,494.75

Step by Step Solution

1. Step 1: Write the proportion equation
   2,333.63 : 3,494.75 = 3,494.75 : x
2. Step 2: Convert to fraction form
   2,333.63/3,494.75 = 3,494.75/x
3. Step 3: Cross multiply
   2,333.63x = 3,494.75 × 3,494.75
4. Step 4: Simplify right side
   2,333.63x = 12,213,277.56
5. Step 5: Solve for x
   x = 12,213,277.56/2,333.63
6. Step 6: Final answer
   x = 5,233.61