Finding the Third Proportional to 1,894.50 and 4,200.75

Step by Step Solution

1. Step 1: Write the proportion equation
   1,894.50 : 4,200.75 = 4,200.75 : x
2. Step 2: Convert to fraction form
   1,894.50/4,200.75 = 4,200.75/x
3. Step 3: Cross multiply
   1,894.50x = 4,200.75 × 4,200.75
4. Step 4: Simplify right side
   1,894.50x = 17,646,300.56
5. Step 5: Solve for x
   x = 17,646,300.56/1,894.50
6. Step 6: Final answer
   x = 9,314.49