Finding the Third Proportional to 10,962.84 and 23,778.56

Step by Step Solution

1. Step 1: Write the proportion equation
   10,962.84 : 23,778.56 = 23,778.56 : x
2. Step 2: Convert to fraction form
   10,962.84/23,778.56 = 23,778.56/x
3. Step 3: Cross multiply
   10,962.84x = 23,778.56 × 23,778.56
4. Step 4: Simplify right side
   10,962.84x = 565,420,034.57
5. Step 5: Solve for x
   x = 565,420,034.57/10,962.84
6. Step 6: Final answer
   x = 51,576.04