Finding the Third Proportional to 1,188.84 and 1,819.55

Step by Step Solution

1. Step 1: Write the proportion equation
   1,188.84 : 1,819.55 = 1,819.55 : x
2. Step 2: Convert to fraction form
   1,188.84/1,819.55 = 1,819.55/x
3. Step 3: Cross multiply
   1,188.84x = 1,819.55 × 1,819.55
4. Step 4: Simplify right side
   1,188.84x = 3,310,750.83
5. Step 5: Solve for x
   x = 3,310,750.83/1,188.84
6. Step 6: Final answer
   x = 2,784.85