Finding the Third Proportional to 3,693.75 and 5,527.88

Step by Step Solution

1. Step 1: Write the proportion equation
   3,693.75 : 5,527.88 = 5,527.88 : x
2. Step 2: Convert to fraction form
   3,693.75/5,527.88 = 5,527.88/x
3. Step 3: Cross multiply
   3,693.75x = 5,527.88 × 5,527.88
4. Step 4: Simplify right side
   3,693.75x = 30,557,402.02
5. Step 5: Solve for x
   x = 30,557,402.02/3,693.75
6. Step 6: Final answer
   x = 8,272.73