Finding the Third Proportional to 4,538 and 5,631.50

Step by Step Solution

1. Step 1: Write the proportion equation
   4,538 : 5,631.50 = 5,631.50 : x
2. Step 2: Convert to fraction form
   4,538/5,631.50 = 5,631.50/x
3. Step 3: Cross multiply
   4,538x = 5,631.50 × 5,631.50
4. Step 4: Simplify right side
   4,538x = 31,713,792.25
5. Step 5: Solve for x
   x = 31,713,792.25/4,538
6. Step 6: Final answer
   x = 6,988.50