Finding the Third Proportional to 1,184.25 and 1,853.63

Step by Step Solution

1. Step 1: Write the proportion equation
   1,184.25 : 1,853.63 = 1,853.63 : x
2. Step 2: Convert to fraction form
   1,184.25/1,853.63 = 1,853.63/x
3. Step 3: Cross multiply
   1,184.25x = 1,853.63 × 1,853.63
4. Step 4: Simplify right side
   1,184.25x = 3,435,925.64
5. Step 5: Solve for x
   x = 3,435,925.64/1,184.25
6. Step 6: Final answer
   x = 2,901.35