Finding the Third Proportional to 3,537 and 5,005.50

Step by Step Solution

1. Step 1: Write the proportion equation
   3,537 : 5,005.50 = 5,005.50 : x
2. Step 2: Convert to fraction form
   3,537/5,005.50 = 5,005.50/x
3. Step 3: Cross multiply
   3,537x = 5,005.50 × 5,005.50
4. Step 4: Simplify right side
   3,537x = 25,055,030.25
5. Step 5: Solve for x
   x = 25,055,030.25/3,537
6. Step 6: Final answer
   x = 7,083.70