Finding the Third Proportional to 10,138.50 and 21,768.75

Step by Step Solution

1. Step 1: Write the proportion equation
   10,138.50 : 21,768.75 = 21,768.75 : x
2. Step 2: Convert to fraction form
   10,138.50/21,768.75 = 21,768.75/x
3. Step 3: Cross multiply
   10,138.50x = 21,768.75 × 21,768.75
4. Step 4: Simplify right side
   10,138.50x = 473,878,476.56
5. Step 5: Solve for x
   x = 473,878,476.56/10,138.50
6. Step 6: Final answer
   x = 46,740.49