Finding the Third Proportional to 10,730.25 and 16,033.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,730.25 : 16,033.50 = 16,033.50 : x
2. Step 2: Convert to fraction form
   10,730.25/16,033.50 = 16,033.50/x
3. Step 3: Cross multiply
   10,730.25x = 16,033.50 × 16,033.50
4. Step 4: Simplify right side
   10,730.25x = 257,073,122.25
5. Step 5: Solve for x
   x = 257,073,122.25/10,730.25
6. Step 6: Final answer
   x = 23,957.79