Finding the Third Proportional to 10,948 and 23,538.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,948 : 23,538.50 = 23,538.50 : x
2. Step 2: Convert to fraction form
   10,948/23,538.50 = 23,538.50/x
3. Step 3: Cross multiply
   10,948x = 23,538.50 × 23,538.50
4. Step 4: Simplify right side
   10,948x = 554,060,982.25
5. Step 5: Solve for x
   x = 554,060,982.25/10,948
6. Step 6: Final answer
   x = 50,608.42