Finding the Third Proportional to 10,823.63 and 23,264.72

Step by Step Solution

1. Step 1: Write the proportion equation
   10,823.63 : 23,264.72 = 23,264.72 : x
2. Step 2: Convert to fraction form
   10,823.63/23,264.72 = 23,264.72/x
3. Step 3: Cross multiply
   10,823.63x = 23,264.72 × 23,264.72
4. Step 4: Simplify right side
   10,823.63x = 541,247,138.52
5. Step 5: Solve for x
   x = 541,247,138.52/10,823.63
6. Step 6: Final answer
   x = 50,006.09