Finding the Third Proportional to 14,651.50 and 31,584.50

Step by Step Solution

1. Step 1: Write the proportion equation
   14,651.50 : 31,584.50 = 31,584.50 : x
2. Step 2: Convert to fraction form
   14,651.50/31,584.50 = 31,584.50/x
3. Step 3: Cross multiply
   14,651.50x = 31,584.50 × 31,584.50
4. Step 4: Simplify right side
   14,651.50x = 997,580,640.25
5. Step 5: Solve for x
   x = 997,580,640.25/14,651.50
6. Step 6: Final answer
   x = 68,087.27