Finding the Third Proportional to 3,838.88 and 10,341.50

Step by Step Solution

1. Step 1: Write the proportion equation
   3,838.88 : 10,341.50 = 10,341.50 : x
2. Step 2: Convert to fraction form
   3,838.88/10,341.50 = 10,341.50/x
3. Step 3: Cross multiply
   3,838.88x = 10,341.50 × 10,341.50
4. Step 4: Simplify right side
   3,838.88x = 106,946,622.25
5. Step 5: Solve for x
   x = 106,946,622.25/3,838.88
6. Step 6: Final answer
   x = 27,858.84