Finding the Third Proportional to 10,947 and 14,638.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,947 : 14,638.50 = 14,638.50 : x
2. Step 2: Convert to fraction form
   10,947/14,638.50 = 14,638.50/x
3. Step 3: Cross multiply
   10,947x = 14,638.50 × 14,638.50
4. Step 4: Simplify right side
   10,947x = 214,285,682.25
5. Step 5: Solve for x
   x = 214,285,682.25/10,947
6. Step 6: Final answer
   x = 19,574.83