Finding the Third Proportional to 1,856.25 and 4,381.59

Step by Step Solution

1. Step 1: Write the proportion equation
   1,856.25 : 4,381.59 = 4,381.59 : x
2. Step 2: Convert to fraction form
   1,856.25/4,381.59 = 4,381.59/x
3. Step 3: Cross multiply
   1,856.25x = 4,381.59 × 4,381.59
4. Step 4: Simplify right side
   1,856.25x = 19,198,363.79
5. Step 5: Solve for x
   x = 19,198,363.79/1,856.25
6. Step 6: Final answer
   x = 10,342.55