Finding the Third Proportional to 9,294 and 13,735.50

Step by Step Solution

1. Step 1: Write the proportion equation
   9,294 : 13,735.50 = 13,735.50 : x
2. Step 2: Convert to fraction form
   9,294/13,735.50 = 13,735.50/x
3. Step 3: Cross multiply
   9,294x = 13,735.50 × 13,735.50
4. Step 4: Simplify right side
   9,294x = 188,663,960.25
5. Step 5: Solve for x
   x = 188,663,960.25/9,294
6. Step 6: Final answer
   x = 20,299.54