Finding the Third Proportional to 14,609.50 and 31,983.50

Step by Step Solution

1. Step 1: Write the proportion equation
   14,609.50 : 31,983.50 = 31,983.50 : x
2. Step 2: Convert to fraction form
   14,609.50/31,983.50 = 31,983.50/x
3. Step 3: Cross multiply
   14,609.50x = 31,983.50 × 31,983.50
4. Step 4: Simplify right side
   14,609.50x = 1,022,944,272.25
5. Step 5: Solve for x
   x = 1,022,944,272.25/14,609.50
6. Step 6: Final answer
   x = 70,019.12