Finding the Third Proportional to 1,876.78 and 3,023.06

Step by Step Solution

1. Step 1: Write the proportion equation
   1,876.78 : 3,023.06 = 3,023.06 : x
2. Step 2: Convert to fraction form
   1,876.78/3,023.06 = 3,023.06/x
3. Step 3: Cross multiply
   1,876.78x = 3,023.06 × 3,023.06
4. Step 4: Simplify right side
   1,876.78x = 9,138,906.88
5. Step 5: Solve for x
   x = 9,138,906.88/1,876.78
6. Step 6: Final answer
   x = 4,869.46