Finding the Third Proportional to 1,838.50 and 4,400.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,838.50 : 4,400.50 = 4,400.50 : x
2. Step 2: Convert to fraction form
   1,838.50/4,400.50 = 4,400.50/x
3. Step 3: Cross multiply
   1,838.50x = 4,400.50 × 4,400.50
4. Step 4: Simplify right side
   1,838.50x = 19,364,400.25
5. Step 5: Solve for x
   x = 19,364,400.25/1,838.50
6. Step 6: Final answer
   x = 10,532.72