Finding the Third Proportional to 2,359.56 and 3,748.59

Step by Step Solution

1. Step 1: Write the proportion equation
   2,359.56 : 3,748.59 = 3,748.59 : x
2. Step 2: Convert to fraction form
   2,359.56/3,748.59 = 3,748.59/x
3. Step 3: Cross multiply
   2,359.56x = 3,748.59 × 3,748.59
4. Step 4: Simplify right side
   2,359.56x = 14,051,955.10
5. Step 5: Solve for x
   x = 14,051,955.10/2,359.56
6. Step 6: Final answer
   x = 5,955.32