Finding the Third Proportional to 10,957.50 and 23,828.63

Step by Step Solution

1. Step 1: Write the proportion equation
   10,957.50 : 23,828.63 = 23,828.63 : x
2. Step 2: Convert to fraction form
   10,957.50/23,828.63 = 23,828.63/x
3. Step 3: Cross multiply
   10,957.50x = 23,828.63 × 23,828.63
4. Step 4: Simplify right side
   10,957.50x = 567,803,369.39
5. Step 5: Solve for x
   x = 567,803,369.39/10,957.50
6. Step 6: Final answer
   x = 51,818.70