Finding the Third Proportional to 11,328 and 23,688.75

Step by Step Solution

1. Step 1: Write the proportion equation
   11,328 : 23,688.75 = 23,688.75 : x
2. Step 2: Convert to fraction form
   11,328/23,688.75 = 23,688.75/x
3. Step 3: Cross multiply
   11,328x = 23,688.75 × 23,688.75
4. Step 4: Simplify right side
   11,328x = 561,156,876.56
5. Step 5: Solve for x
   x = 561,156,876.56/11,328
6. Step 6: Final answer
   x = 49,537.15