Finding the Third Proportional to 24,166 and 36,969.50

Step by Step Solution

1. Step 1: Write the proportion equation
   24,166 : 36,969.50 = 36,969.50 : x
2. Step 2: Convert to fraction form
   24,166/36,969.50 = 36,969.50/x
3. Step 3: Cross multiply
   24,166x = 36,969.50 × 36,969.50
4. Step 4: Simplify right side
   24,166x = 1,366,743,930.25
5. Step 5: Solve for x
   x = 1,366,743,930.25/24,166
6. Step 6: Final answer
   x = 56,556.48