Finding the Third Proportional to 1,833.89 and 2,840.91

Step by Step Solution

1. Step 1: Write the proportion equation
   1,833.89 : 2,840.91 = 2,840.91 : x
2. Step 2: Convert to fraction form
   1,833.89/2,840.91 = 2,840.91/x
3. Step 3: Cross multiply
   1,833.89x = 2,840.91 × 2,840.91
4. Step 4: Simplify right side
   1,833.89x = 8,070,748.32
5. Step 5: Solve for x
   x = 8,070,748.32/1,833.89
6. Step 6: Final answer
   x = 4,400.89