Finding the Third Proportional to 23,166 and 33,745.50

Step by Step Solution

1. Step 1: Write the proportion equation
   23,166 : 33,745.50 = 33,745.50 : x
2. Step 2: Convert to fraction form
   23,166/33,745.50 = 33,745.50/x
3. Step 3: Cross multiply
   23,166x = 33,745.50 × 33,745.50
4. Step 4: Simplify right side
   23,166x = 1,138,758,770.25
5. Step 5: Solve for x
   x = 1,138,758,770.25/23,166
6. Step 6: Final answer
   x = 49,156.47