Finding the Third Proportional to 2,341.88 and 3,527.63

Step by Step Solution

1. Step 1: Write the proportion equation
   2,341.88 : 3,527.63 = 3,527.63 : x
2. Step 2: Convert to fraction form
   2,341.88/3,527.63 = 3,527.63/x
3. Step 3: Cross multiply
   2,341.88x = 3,527.63 × 3,527.63
4. Step 4: Simplify right side
   2,341.88x = 12,444,138.14
5. Step 5: Solve for x
   x = 12,444,138.14/2,341.88
6. Step 6: Final answer
   x = 5,313.75