Finding the Third Proportional to 1,894.50 and 4,385.25

Step by Step Solution

1. Step 1: Write the proportion equation
   1,894.50 : 4,385.25 = 4,385.25 : x
2. Step 2: Convert to fraction form
   1,894.50/4,385.25 = 4,385.25/x
3. Step 3: Cross multiply
   1,894.50x = 4,385.25 × 4,385.25
4. Step 4: Simplify right side
   1,894.50x = 19,230,417.56
5. Step 5: Solve for x
   x = 19,230,417.56/1,894.50
6. Step 6: Final answer
   x = 10,150.66