Finding the Third Proportional to 9,896 and 23,180

Step by Step Solution

1. Step 1: Write the proportion equation
   9,896 : 23,180 = 23,180 : x
2. Step 2: Convert to fraction form
   9,896/23,180 = 23,180/x
3. Step 3: Cross multiply
   9,896x = 23,180 × 23,180
4. Step 4: Simplify right side
   9,896x = 537,312,400
5. Step 5: Solve for x
   x = 537,312,400/9,896
6. Step 6: Final answer
   x = 54,295.92