Finding the Third Proportional to 10,638 and 23,137.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,638 : 23,137.50 = 23,137.50 : x
2. Step 2: Convert to fraction form
   10,638/23,137.50 = 23,137.50/x
3. Step 3: Cross multiply
   10,638x = 23,137.50 × 23,137.50
4. Step 4: Simplify right side
   10,638x = 535,343,906.25
5. Step 5: Solve for x
   x = 535,343,906.25/10,638
6. Step 6: Final answer
   x = 50,323.74