Finding the Third Proportional to 10,906.50 and 23,957.25

Step by Step Solution

1. Step 1: Write the proportion equation
   10,906.50 : 23,957.25 = 23,957.25 : x
2. Step 2: Convert to fraction form
   10,906.50/23,957.25 = 23,957.25/x
3. Step 3: Cross multiply
   10,906.50x = 23,957.25 × 23,957.25
4. Step 4: Simplify right side
   10,906.50x = 573,949,827.56
5. Step 5: Solve for x
   x = 573,949,827.56/10,906.50
6. Step 6: Final answer
   x = 52,624.57