Finding the Third Proportional to 10,827 and 23,272.31

Step by Step Solution

1. Step 1: Write the proportion equation
   10,827 : 23,272.31 = 23,272.31 : x
2. Step 2: Convert to fraction form
   10,827/23,272.31 = 23,272.31/x
3. Step 3: Cross multiply
   10,827x = 23,272.31 × 23,272.31
4. Step 4: Simplify right side
   10,827x = 541,600,529.10
5. Step 5: Solve for x
   x = 541,600,529.10/10,827
6. Step 6: Final answer
   x = 50,023.14