Finding the Third Proportional to 10,871.50 and 23,322.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,871.50 : 23,322.50 = 23,322.50 : x
2. Step 2: Convert to fraction form
   10,871.50/23,322.50 = 23,322.50/x
3. Step 3: Cross multiply
   10,871.50x = 23,322.50 × 23,322.50
4. Step 4: Simplify right side
   10,871.50x = 543,939,006.25
5. Step 5: Solve for x
   x = 543,939,006.25/10,871.50
6. Step 6: Final answer
   x = 50,033.48