Finding the Third Proportional to 11,505 and 23,311.50

Step by Step Solution

1. Step 1: Write the proportion equation
   11,505 : 23,311.50 = 23,311.50 : x
2. Step 2: Convert to fraction form
   11,505/23,311.50 = 23,311.50/x
3. Step 3: Cross multiply
   11,505x = 23,311.50 × 23,311.50
4. Step 4: Simplify right side
   11,505x = 543,426,032.25
5. Step 5: Solve for x
   x = 543,426,032.25/11,505
6. Step 6: Final answer
   x = 47,233.90