Finding the Third Proportional to 5,026.50 and 10,827.56

Step by Step Solution

1. Step 1: Write the proportion equation
   5,026.50 : 10,827.56 = 10,827.56 : x
2. Step 2: Convert to fraction form
   5,026.50/10,827.56 = 10,827.56/x
3. Step 3: Cross multiply
   5,026.50x = 10,827.56 × 10,827.56
4. Step 4: Simplify right side
   5,026.50x = 117,236,109.69
5. Step 5: Solve for x
   x = 117,236,109.69/5,026.50
6. Step 6: Final answer
   x = 23,323.61