Finding the Third Proportional to 14,791.50 and 23,584.50

Step by Step Solution

1. Step 1: Write the proportion equation
   14,791.50 : 23,584.50 = 23,584.50 : x
2. Step 2: Convert to fraction form
   14,791.50/23,584.50 = 23,584.50/x
3. Step 3: Cross multiply
   14,791.50x = 23,584.50 × 23,584.50
4. Step 4: Simplify right side
   14,791.50x = 556,228,640.25
5. Step 5: Solve for x
   x = 556,228,640.25/14,791.50
6. Step 6: Final answer
   x = 37,604.61