Finding the Third Proportional to 11,570 and 24,896

Step by Step Solution

1. Step 1: Write the proportion equation
   11,570 : 24,896 = 24,896 : x
2. Step 2: Convert to fraction form
   11,570/24,896 = 24,896/x
3. Step 3: Cross multiply
   11,570x = 24,896 × 24,896
4. Step 4: Simplify right side
   11,570x = 619,810,816
5. Step 5: Solve for x
   x = 619,810,816/11,570
6. Step 6: Final answer
   x = 53,570.51