Finding the Third Proportional to 2,527.50 and 5,958.75

Step by Step Solution

1. Step 1: Write the proportion equation
   2,527.50 : 5,958.75 = 5,958.75 : x
2. Step 2: Convert to fraction form
   2,527.50/5,958.75 = 5,958.75/x
3. Step 3: Cross multiply
   2,527.50x = 5,958.75 × 5,958.75
4. Step 4: Simplify right side
   2,527.50x = 35,506,701.56
5. Step 5: Solve for x
   x = 35,506,701.56/2,527.50
6. Step 6: Final answer
   x = 14,048.15