Finding the Third Proportional to 23,584.50 and 49,092.75

Step by Step Solution

1. Step 1: Write the proportion equation
   23,584.50 : 49,092.75 = 49,092.75 : x
2. Step 2: Convert to fraction form
   23,584.50/49,092.75 = 49,092.75/x
3. Step 3: Cross multiply
   23,584.50x = 49,092.75 × 49,092.75
4. Step 4: Simplify right side
   23,584.50x = 2,410,098,102.56
5. Step 5: Solve for x
   x = 2,410,098,102.56/23,584.50
6. Step 6: Final answer
   x = 102,189.92