Finding the Third Proportional to 10,777.50 and 23,676.75

Step by Step Solution

1. Step 1: Write the proportion equation
   10,777.50 : 23,676.75 = 23,676.75 : x
2. Step 2: Convert to fraction form
   10,777.50/23,676.75 = 23,676.75/x
3. Step 3: Cross multiply
   10,777.50x = 23,676.75 × 23,676.75
4. Step 4: Simplify right side
   10,777.50x = 560,588,490.56
5. Step 5: Solve for x
   x = 560,588,490.56/10,777.50
6. Step 6: Final answer
   x = 52,014.71