Finding the Third Proportional to 1,919.75 and 2,705.25

Step by Step Solution

1. Step 1: Write the proportion equation
   1,919.75 : 2,705.25 = 2,705.25 : x
2. Step 2: Convert to fraction form
   1,919.75/2,705.25 = 2,705.25/x
3. Step 3: Cross multiply
   1,919.75x = 2,705.25 × 2,705.25
4. Step 4: Simplify right side
   1,919.75x = 7,318,377.56
5. Step 5: Solve for x
   x = 7,318,377.56/1,919.75
6. Step 6: Final answer
   x = 3,812.15