Finding the Third Proportional to 14,209.50 and 20,947.50

Step by Step Solution

1. Step 1: Write the proportion equation
   14,209.50 : 20,947.50 = 20,947.50 : x
2. Step 2: Convert to fraction form
   14,209.50/20,947.50 = 20,947.50/x
3. Step 3: Cross multiply
   14,209.50x = 20,947.50 × 20,947.50
4. Step 4: Simplify right side
   14,209.50x = 438,797,756.25
5. Step 5: Solve for x
   x = 438,797,756.25/14,209.50
6. Step 6: Final answer
   x = 30,880.59