Finding the Third Proportional to 1,902.56 and 2,877.94

Step by Step Solution

1. Step 1: Write the proportion equation
   1,902.56 : 2,877.94 = 2,877.94 : x
2. Step 2: Convert to fraction form
   1,902.56/2,877.94 = 2,877.94/x
3. Step 3: Cross multiply
   1,902.56x = 2,877.94 × 2,877.94
4. Step 4: Simplify right side
   1,902.56x = 8,282,524.25
5. Step 5: Solve for x
   x = 8,282,524.25/1,902.56
6. Step 6: Final answer
   x = 4,353.35