Finding the Third Proportional to 9,693.84 and 13,976.72

Step by Step Solution

1. Step 1: Write the proportion equation
   9,693.84 : 13,976.72 = 13,976.72 : x
2. Step 2: Convert to fraction form
   9,693.84/13,976.72 = 13,976.72/x
3. Step 3: Cross multiply
   9,693.84x = 13,976.72 × 13,976.72
4. Step 4: Simplify right side
   9,693.84x = 195,348,667.02
5. Step 5: Solve for x
   x = 195,348,667.02/9,693.84
6. Step 6: Final answer
   x = 20,151.83