Finding the Third Proportional to 3,870 and 5,532.75

Step by Step Solution

1. Step 1: Write the proportion equation
   3,870 : 5,532.75 = 5,532.75 : x
2. Step 2: Convert to fraction form
   3,870/5,532.75 = 5,532.75/x
3. Step 3: Cross multiply
   3,870x = 5,532.75 × 5,532.75
4. Step 4: Simplify right side
   3,870x = 30,611,322.56
5. Step 5: Solve for x
   x = 30,611,322.56/3,870
6. Step 6: Final answer
   x = 7,909.90