Finding the Third Proportional to 3,653 and 5,061.50

Step by Step Solution

1. Step 1: Write the proportion equation
   3,653 : 5,061.50 = 5,061.50 : x
2. Step 2: Convert to fraction form
   3,653/5,061.50 = 5,061.50/x
3. Step 3: Cross multiply
   3,653x = 5,061.50 × 5,061.50
4. Step 4: Simplify right side
   3,653x = 25,618,782.25
5. Step 5: Solve for x
   x = 25,618,782.25/3,653
6. Step 6: Final answer
   x = 7,013.08