Finding the Third Proportional to 8,947 and 13,931.50

Step by Step Solution

1. Step 1: Write the proportion equation
   8,947 : 13,931.50 = 13,931.50 : x
2. Step 2: Convert to fraction form
   8,947/13,931.50 = 13,931.50/x
3. Step 3: Cross multiply
   8,947x = 13,931.50 × 13,931.50
4. Step 4: Simplify right side
   8,947x = 194,086,692.25
5. Step 5: Solve for x
   x = 194,086,692.25/8,947
6. Step 6: Final answer
   x = 21,692.94