Finding the Third Proportional to 10,525.50 and 24,365.25

Step by Step Solution

1. Step 1: Write the proportion equation
   10,525.50 : 24,365.25 = 24,365.25 : x
2. Step 2: Convert to fraction form
   10,525.50/24,365.25 = 24,365.25/x
3. Step 3: Cross multiply
   10,525.50x = 24,365.25 × 24,365.25
4. Step 4: Simplify right side
   10,525.50x = 593,665,407.56
5. Step 5: Solve for x
   x = 593,665,407.56/10,525.50
6. Step 6: Final answer
   x = 56,402.58