Finding the Third Proportional to 1,154 and 1,830

Step by Step Solution

1. Step 1: Write the proportion equation
   1,154 : 1,830 = 1,830 : x
2. Step 2: Convert to fraction form
   1,154/1,830 = 1,830/x
3. Step 3: Cross multiply
   1,154x = 1,830 × 1,830
4. Step 4: Simplify right side
   1,154x = 3,348,900
5. Step 5: Solve for x
   x = 3,348,900/1,154
6. Step 6: Final answer
   x = 2,901.99