Finding the Third Proportional to 10,165.50 and 21,753.56

Step by Step Solution

1. Step 1: Write the proportion equation
   10,165.50 : 21,753.56 = 21,753.56 : x
2. Step 2: Convert to fraction form
   10,165.50/21,753.56 = 21,753.56/x
3. Step 3: Cross multiply
   10,165.50x = 21,753.56 × 21,753.56
4. Step 4: Simplify right side
   10,165.50x = 473,217,481.44
5. Step 5: Solve for x
   x = 473,217,481.44/10,165.50
6. Step 6: Final answer
   x = 46,551.32