Finding the Third Proportional to 1,184 and 1,836.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,184 : 1,836.50 = 1,836.50 : x
2. Step 2: Convert to fraction form
   1,184/1,836.50 = 1,836.50/x
3. Step 3: Cross multiply
   1,184x = 1,836.50 × 1,836.50
4. Step 4: Simplify right side
   1,184x = 3,372,732.25
5. Step 5: Solve for x
   x = 3,372,732.25/1,184
6. Step 6: Final answer
   x = 2,848.59