Finding the Third Proportional to 10,664 and 24,912.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,664 : 24,912.50 = 24,912.50 : x
2. Step 2: Convert to fraction form
   10,664/24,912.50 = 24,912.50/x
3. Step 3: Cross multiply
   10,664x = 24,912.50 × 24,912.50
4. Step 4: Simplify right side
   10,664x = 620,632,656.25
5. Step 5: Solve for x
   x = 620,632,656.25/10,664
6. Step 6: Final answer
   x = 58,198.86