Finding the Third Proportional to 14,434 and 17,583.50

Step by Step Solution

1. Step 1: Write the proportion equation
   14,434 : 17,583.50 = 17,583.50 : x
2. Step 2: Convert to fraction form
   14,434/17,583.50 = 17,583.50/x
3. Step 3: Cross multiply
   14,434x = 17,583.50 × 17,583.50
4. Step 4: Simplify right side
   14,434x = 309,179,472.25
5. Step 5: Solve for x
   x = 309,179,472.25/14,434
6. Step 6: Final answer
   x = 21,420.22