Finding the Third Proportional to 1,194 and 1,870

Step by Step Solution

1. Step 1: Write the proportion equation
   1,194 : 1,870 = 1,870 : x
2. Step 2: Convert to fraction form
   1,194/1,870 = 1,870/x
3. Step 3: Cross multiply
   1,194x = 1,870 × 1,870
4. Step 4: Simplify right side
   1,194x = 3,496,900
5. Step 5: Solve for x
   x = 3,496,900/1,194
6. Step 6: Final answer
   x = 2,928.73