Finding the Third Proportional to 11,172.75 and 23,641.50

Step by Step Solution

1. Step 1: Write the proportion equation
   11,172.75 : 23,641.50 = 23,641.50 : x
2. Step 2: Convert to fraction form
   11,172.75/23,641.50 = 23,641.50/x
3. Step 3: Cross multiply
   11,172.75x = 23,641.50 × 23,641.50
4. Step 4: Simplify right side
   11,172.75x = 558,920,522.25
5. Step 5: Solve for x
   x = 558,920,522.25/11,172.75
6. Step 6: Final answer
   x = 50,025.33