Finding the Third Proportional to 25,724 and 52,163.50

Step by Step Solution

1. Step 1: Write the proportion equation
   25,724 : 52,163.50 = 52,163.50 : x
2. Step 2: Convert to fraction form
   25,724/52,163.50 = 52,163.50/x
3. Step 3: Cross multiply
   25,724x = 52,163.50 × 52,163.50
4. Step 4: Simplify right side
   25,724x = 2,721,030,732.25
5. Step 5: Solve for x
   x = 2,721,030,732.25/25,724
6. Step 6: Final answer
   x = 105,777.90