Finding the Third Proportional to 1,527.75 and 2,791.88

Step by Step Solution

1. Step 1: Write the proportion equation
   1,527.75 : 2,791.88 = 2,791.88 : x
2. Step 2: Convert to fraction form
   1,527.75/2,791.88 = 2,791.88/x
3. Step 3: Cross multiply
   1,527.75x = 2,791.88 × 2,791.88
4. Step 4: Simplify right side
   1,527.75x = 7,794,566.02
5. Step 5: Solve for x
   x = 7,794,566.02/1,527.75
6. Step 6: Final answer
   x = 5,101.99