Finding the Third Proportional to 10,293 and 13,735.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,293 : 13,735.50 = 13,735.50 : x
2. Step 2: Convert to fraction form
   10,293/13,735.50 = 13,735.50/x
3. Step 3: Cross multiply
   10,293x = 13,735.50 × 13,735.50
4. Step 4: Simplify right side
   10,293x = 188,663,960.25
5. Step 5: Solve for x
   x = 188,663,960.25/10,293
6. Step 6: Final answer
   x = 18,329.35