Finding the Third Proportional to 24,326 and 36,665.50

Step by Step Solution

1. Step 1: Write the proportion equation
   24,326 : 36,665.50 = 36,665.50 : x
2. Step 2: Convert to fraction form
   24,326/36,665.50 = 36,665.50/x
3. Step 3: Cross multiply
   24,326x = 36,665.50 × 36,665.50
4. Step 4: Simplify right side
   24,326x = 1,344,358,890.25
5. Step 5: Solve for x
   x = 1,344,358,890.25/24,326
6. Step 6: Final answer
   x = 55,264.28