Finding the Third Proportional to 14,742 and 21,019.50

Step by Step Solution

1. Step 1: Write the proportion equation
   14,742 : 21,019.50 = 21,019.50 : x
2. Step 2: Convert to fraction form
   14,742/21,019.50 = 21,019.50/x
3. Step 3: Cross multiply
   14,742x = 21,019.50 × 21,019.50
4. Step 4: Simplify right side
   14,742x = 441,819,380.25
5. Step 5: Solve for x
   x = 441,819,380.25/14,742
6. Step 6: Final answer
   x = 29,970.11