Finding the Third Proportional to 19,686 and 43,705.50

Step by Step Solution

1. Step 1: Write the proportion equation
   19,686 : 43,705.50 = 43,705.50 : x
2. Step 2: Convert to fraction form
   19,686/43,705.50 = 43,705.50/x
3. Step 3: Cross multiply
   19,686x = 43,705.50 × 43,705.50
4. Step 4: Simplify right side
   19,686x = 1,910,170,730.25
5. Step 5: Solve for x
   x = 1,910,170,730.25/19,686
6. Step 6: Final answer
   x = 97,031.94