Finding the Third Proportional to 14,677.50 and 22,019.25

Step by Step Solution

1. Step 1: Write the proportion equation
   14,677.50 : 22,019.25 = 22,019.25 : x
2. Step 2: Convert to fraction form
   14,677.50/22,019.25 = 22,019.25/x
3. Step 3: Cross multiply
   14,677.50x = 22,019.25 × 22,019.25
4. Step 4: Simplify right side
   14,677.50x = 484,847,370.56
5. Step 5: Solve for x
   x = 484,847,370.56/14,677.50
6. Step 6: Final answer
   x = 33,033.38