Finding the Third Proportional to 1,077.50 and 1,921

Step by Step Solution

1. Step 1: Write the proportion equation
   1,077.50 : 1,921 = 1,921 : x
2. Step 2: Convert to fraction form
   1,077.50/1,921 = 1,921/x
3. Step 3: Cross multiply
   1,077.50x = 1,921 × 1,921
4. Step 4: Simplify right side
   1,077.50x = 3,690,241
5. Step 5: Solve for x
   x = 3,690,241/1,077.50
6. Step 6: Final answer
   x = 3,424.82