Finding the Third Proportional to 10,894.50 and 23,766.75

Step by Step Solution

1. Step 1: Write the proportion equation
   10,894.50 : 23,766.75 = 23,766.75 : x
2. Step 2: Convert to fraction form
   10,894.50/23,766.75 = 23,766.75/x
3. Step 3: Cross multiply
   10,894.50x = 23,766.75 × 23,766.75
4. Step 4: Simplify right side
   10,894.50x = 564,858,405.56
5. Step 5: Solve for x
   x = 564,858,405.56/10,894.50
6. Step 6: Final answer
   x = 51,848.03