Finding the Third Proportional to 19,080 and 28,579.50

Step by Step Solution

1. Step 1: Write the proportion equation
   19,080 : 28,579.50 = 28,579.50 : x
2. Step 2: Convert to fraction form
   19,080/28,579.50 = 28,579.50/x
3. Step 3: Cross multiply
   19,080x = 28,579.50 × 28,579.50
4. Step 4: Simplify right side
   19,080x = 816,787,820.25
5. Step 5: Solve for x
   x = 816,787,820.25/19,080
6. Step 6: Final answer
   x = 42,808.59