Finding the Third Proportional to 11,446.50 and 24,123.75

Step by Step Solution

1. Step 1: Write the proportion equation
   11,446.50 : 24,123.75 = 24,123.75 : x
2. Step 2: Convert to fraction form
   11,446.50/24,123.75 = 24,123.75/x
3. Step 3: Cross multiply
   11,446.50x = 24,123.75 × 24,123.75
4. Step 4: Simplify right side
   11,446.50x = 581,955,314.06
5. Step 5: Solve for x
   x = 581,955,314.06/11,446.50
6. Step 6: Final answer
   x = 50,841.33