Finding the Third Proportional to 10,525.50 and 22,838

Step by Step Solution

1. Step 1: Write the proportion equation
   10,525.50 : 22,838 = 22,838 : x
2. Step 2: Convert to fraction form
   10,525.50/22,838 = 22,838/x
3. Step 3: Cross multiply
   10,525.50x = 22,838 × 22,838
4. Step 4: Simplify right side
   10,525.50x = 521,574,244
5. Step 5: Solve for x
   x = 521,574,244/10,525.50
6. Step 6: Final answer
   x = 49,553.39