Finding the Third Proportional to 3,522 and 5,303.50

Step by Step Solution

1. Step 1: Write the proportion equation
   3,522 : 5,303.50 = 5,303.50 : x
2. Step 2: Convert to fraction form
   3,522/5,303.50 = 5,303.50/x
3. Step 3: Cross multiply
   3,522x = 5,303.50 × 5,303.50
4. Step 4: Simplify right side
   3,522x = 28,127,112.25
5. Step 5: Solve for x
   x = 28,127,112.25/3,522
6. Step 6: Final answer
   x = 7,986.12