Finding the Third Proportional to 1,194 and 1,410

Step by Step Solution

1. Step 1: Write the proportion equation
   1,194 : 1,410 = 1,410 : x
2. Step 2: Convert to fraction form
   1,194/1,410 = 1,410/x
3. Step 3: Cross multiply
   1,194x = 1,410 × 1,410
4. Step 4: Simplify right side
   1,194x = 1,988,100
5. Step 5: Solve for x
   x = 1,988,100/1,194
6. Step 6: Final answer
   x = 1,665.08