Finding the Third Proportional to 1,948.50 and 4,443.75

Step by Step Solution

1. Step 1: Write the proportion equation
   1,948.50 : 4,443.75 = 4,443.75 : x
2. Step 2: Convert to fraction form
   1,948.50/4,443.75 = 4,443.75/x
3. Step 3: Cross multiply
   1,948.50x = 4,443.75 × 4,443.75
4. Step 4: Simplify right side
   1,948.50x = 19,746,914.06
5. Step 5: Solve for x
   x = 19,746,914.06/1,948.50
6. Step 6: Final answer
   x = 10,134.42