Finding the Third Proportional to 19,984.50 and 31,009.50

Step by Step Solution

1. Step 1: Write the proportion equation
   19,984.50 : 31,009.50 = 31,009.50 : x
2. Step 2: Convert to fraction form
   19,984.50/31,009.50 = 31,009.50/x
3. Step 3: Cross multiply
   19,984.50x = 31,009.50 × 31,009.50
4. Step 4: Simplify right side
   19,984.50x = 961,589,090.25
5. Step 5: Solve for x
   x = 961,589,090.25/19,984.50
6. Step 6: Final answer
   x = 48,116.74