Finding the Third Proportional to 14,490 and 19,579.50

Step by Step Solution

1. Step 1: Write the proportion equation
   14,490 : 19,579.50 = 19,579.50 : x
2. Step 2: Convert to fraction form
   14,490/19,579.50 = 19,579.50/x
3. Step 3: Cross multiply
   14,490x = 19,579.50 × 19,579.50
4. Step 4: Simplify right side
   14,490x = 383,356,820.25
5. Step 5: Solve for x
   x = 383,356,820.25/14,490
6. Step 6: Final answer
   x = 26,456.65