Finding the Third Proportional to 14,434 and 31,283.50

Step by Step Solution

1. Step 1: Write the proportion equation
   14,434 : 31,283.50 = 31,283.50 : x
2. Step 2: Convert to fraction form
   14,434/31,283.50 = 31,283.50/x
3. Step 3: Cross multiply
   14,434x = 31,283.50 × 31,283.50
4. Step 4: Simplify right side
   14,434x = 978,657,372.25
5. Step 5: Solve for x
   x = 978,657,372.25/14,434
6. Step 6: Final answer
   x = 67,802.23