Finding the Third Proportional to 11,194.50 and 23,538.75

Step by Step Solution

1. Step 1: Write the proportion equation
   11,194.50 : 23,538.75 = 23,538.75 : x
2. Step 2: Convert to fraction form
   11,194.50/23,538.75 = 23,538.75/x
3. Step 3: Cross multiply
   11,194.50x = 23,538.75 × 23,538.75
4. Step 4: Simplify right side
   11,194.50x = 554,072,751.56
5. Step 5: Solve for x
   x = 554,072,751.56/11,194.50
6. Step 6: Final answer
   x = 49,495.09