Finding the Third Proportional to 9,740.50 and 13,928.63

Step by Step Solution

1. Step 1: Write the proportion equation
   9,740.50 : 13,928.63 = 13,928.63 : x
2. Step 2: Convert to fraction form
   9,740.50/13,928.63 = 13,928.63/x
3. Step 3: Cross multiply
   9,740.50x = 13,928.63 × 13,928.63
4. Step 4: Simplify right side
   9,740.50x = 194,006,594.39
5. Step 5: Solve for x
   x = 194,006,594.39/9,740.50
6. Step 6: Final answer
   x = 19,917.52