Finding the Third Proportional to 3,633.50 and 7,880.50

Step by Step Solution

1. Step 1: Write the proportion equation
   3,633.50 : 7,880.50 = 7,880.50 : x
2. Step 2: Convert to fraction form
   3,633.50/7,880.50 = 7,880.50/x
3. Step 3: Cross multiply
   3,633.50x = 7,880.50 × 7,880.50
4. Step 4: Simplify right side
   3,633.50x = 62,102,280.25
5. Step 5: Solve for x
   x = 62,102,280.25/3,633.50
6. Step 6: Final answer
   x = 17,091.59