Finding the Third Proportional to 10,138.50 and 21,789

Step by Step Solution

1. Step 1: Write the proportion equation
   10,138.50 : 21,789 = 21,789 : x
2. Step 2: Convert to fraction form
   10,138.50/21,789 = 21,789/x
3. Step 3: Cross multiply
   10,138.50x = 21,789 × 21,789
4. Step 4: Simplify right side
   10,138.50x = 474,760,521
5. Step 5: Solve for x
   x = 474,760,521/10,138.50
6. Step 6: Final answer
   x = 46,827.49