Finding the Third Proportional to 2,527.88 and 3,884.63

Step by Step Solution

1. Step 1: Write the proportion equation
   2,527.88 : 3,884.63 = 3,884.63 : x
2. Step 2: Convert to fraction form
   2,527.88/3,884.63 = 3,884.63/x
3. Step 3: Cross multiply
   2,527.88x = 3,884.63 × 3,884.63
4. Step 4: Simplify right side
   2,527.88x = 15,090,311.39
5. Step 5: Solve for x
   x = 15,090,311.39/2,527.88
6. Step 6: Final answer
   x = 5,969.56