Finding the Third Proportional to 1,419.61 and 2,179.09

Step by Step Solution

1. Step 1: Write the proportion equation
   1,419.61 : 2,179.09 = 2,179.09 : x
2. Step 2: Convert to fraction form
   1,419.61/2,179.09 = 2,179.09/x
3. Step 3: Cross multiply
   1,419.61x = 2,179.09 × 2,179.09
4. Step 4: Simplify right side
   1,419.61x = 4,748,432.55
5. Step 5: Solve for x
   x = 4,748,432.55/1,419.61
6. Step 6: Final answer
   x = 3,344.89