Finding the Third Proportional to 1,885.86 and 2,825.59

Step by Step Solution

1. Step 1: Write the proportion equation
   1,885.86 : 2,825.59 = 2,825.59 : x
2. Step 2: Convert to fraction form
   1,885.86/2,825.59 = 2,825.59/x
3. Step 3: Cross multiply
   1,885.86x = 2,825.59 × 2,825.59
4. Step 4: Simplify right side
   1,885.86x = 7,983,941.41
5. Step 5: Solve for x
   x = 7,983,941.41/1,885.86
6. Step 6: Final answer
   x = 4,233.58