Finding the Third Proportional to 23,544 and 36,706.50

Step by Step Solution

1. Step 1: Write the proportion equation
   23,544 : 36,706.50 = 36,706.50 : x
2. Step 2: Convert to fraction form
   23,544/36,706.50 = 36,706.50/x
3. Step 3: Cross multiply
   23,544x = 36,706.50 × 36,706.50
4. Step 4: Simplify right side
   23,544x = 1,347,367,142.25
5. Step 5: Solve for x
   x = 1,347,367,142.25/23,544
6. Step 6: Final answer
   x = 57,227.62