Finding the Third Proportional to 9,777.75 and 14,011.88

Step by Step Solution

1. Step 1: Write the proportion equation
   9,777.75 : 14,011.88 = 14,011.88 : x
2. Step 2: Convert to fraction form
   9,777.75/14,011.88 = 14,011.88/x
3. Step 3: Cross multiply
   9,777.75x = 14,011.88 × 14,011.88
4. Step 4: Simplify right side
   9,777.75x = 196,332,641.02
5. Step 5: Solve for x
   x = 196,332,641.02/9,777.75
6. Step 6: Final answer
   x = 20,079.53