Finding the Third Proportional to 3,871 and 5,527.50

Step by Step Solution

1. Step 1: Write the proportion equation
   3,871 : 5,527.50 = 5,527.50 : x
2. Step 2: Convert to fraction form
   3,871/5,527.50 = 5,527.50/x
3. Step 3: Cross multiply
   3,871x = 5,527.50 × 5,527.50
4. Step 4: Simplify right side
   3,871x = 30,553,256.25
5. Step 5: Solve for x
   x = 30,553,256.25/3,871
6. Step 6: Final answer
   x = 7,892.86