Finding the Third Proportional to 1,184.50 and 2,369

Step by Step Solution

1. Step 1: Write the proportion equation
   1,184.50 : 2,369 = 2,369 : x
2. Step 2: Convert to fraction form
   1,184.50/2,369 = 2,369/x
3. Step 3: Cross multiply
   1,184.50x = 2,369 × 2,369
4. Step 4: Simplify right side
   1,184.50x = 5,612,161
5. Step 5: Solve for x
   x = 5,612,161/1,184.50
6. Step 6: Final answer
   x = 4,738