Finding the Third Proportional to 10,477.50 and 22,827

Step by Step Solution

1. Step 1: Write the proportion equation
   10,477.50 : 22,827 = 22,827 : x
2. Step 2: Convert to fraction form
   10,477.50/22,827 = 22,827/x
3. Step 3: Cross multiply
   10,477.50x = 22,827 × 22,827
4. Step 4: Simplify right side
   10,477.50x = 521,071,929
5. Step 5: Solve for x
   x = 521,071,929/10,477.50
6. Step 6: Final answer
   x = 49,732.47