Finding the Third Proportional to 1,922.91 and 2,884.78

Step by Step Solution

1. Step 1: Write the proportion equation
   1,922.91 : 2,884.78 = 2,884.78 : x
2. Step 2: Convert to fraction form
   1,922.91/2,884.78 = 2,884.78/x
3. Step 3: Cross multiply
   1,922.91x = 2,884.78 × 2,884.78
4. Step 4: Simplify right side
   1,922.91x = 8,321,962.86
5. Step 5: Solve for x
   x = 8,321,962.86/1,922.91
6. Step 6: Final answer
   x = 4,327.80