Finding the Third Proportional to 10,896 and 23,755.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,896 : 23,755.50 = 23,755.50 : x
2. Step 2: Convert to fraction form
   10,896/23,755.50 = 23,755.50/x
3. Step 3: Cross multiply
   10,896x = 23,755.50 × 23,755.50
4. Step 4: Simplify right side
   10,896x = 564,323,780.25
5. Step 5: Solve for x
   x = 564,323,780.25/10,896
6. Step 6: Final answer
   x = 51,791.83