Finding the Third Proportional to 10,077.75 and 14,817.38

Step by Step Solution

1. Step 1: Write the proportion equation
   10,077.75 : 14,817.38 = 14,817.38 : x
2. Step 2: Convert to fraction form
   10,077.75/14,817.38 = 14,817.38/x
3. Step 3: Cross multiply
   10,077.75x = 14,817.38 × 14,817.38
4. Step 4: Simplify right side
   10,077.75x = 219,554,601.89
5. Step 5: Solve for x
   x = 219,554,601.89/10,077.75
6. Step 6: Final answer
   x = 21,786.07