Finding the Third Proportional to 19,983 and 40,654.50

Step by Step Solution

1. Step 1: Write the proportion equation
   19,983 : 40,654.50 = 40,654.50 : x
2. Step 2: Convert to fraction form
   19,983/40,654.50 = 40,654.50/x
3. Step 3: Cross multiply
   19,983x = 40,654.50 × 40,654.50
4. Step 4: Simplify right side
   19,983x = 1,652,788,370.25
5. Step 5: Solve for x
   x = 1,652,788,370.25/19,983
6. Step 6: Final answer
   x = 82,709.72