Finding the Third Proportional to 10,974.75 and 23,704.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,974.75 : 23,704.50 = 23,704.50 : x
2. Step 2: Convert to fraction form
   10,974.75/23,704.50 = 23,704.50/x
3. Step 3: Cross multiply
   10,974.75x = 23,704.50 × 23,704.50
4. Step 4: Simplify right side
   10,974.75x = 561,903,320.25
5. Step 5: Solve for x
   x = 561,903,320.25/10,974.75
6. Step 6: Final answer
   x = 51,199.65