Finding the Third Proportional to 1,878.19 and 2,923.59

Step by Step Solution

1. Step 1: Write the proportion equation
   1,878.19 : 2,923.59 = 2,923.59 : x
2. Step 2: Convert to fraction form
   1,878.19/2,923.59 = 2,923.59/x
3. Step 3: Cross multiply
   1,878.19x = 2,923.59 × 2,923.59
4. Step 4: Simplify right side
   1,878.19x = 8,547,400.42
5. Step 5: Solve for x
   x = 8,547,400.42/1,878.19
6. Step 6: Final answer
   x = 4,550.88