Finding the Third Proportional to 15,686 and 34,481.50

Step by Step Solution

1. Step 1: Write the proportion equation
   15,686 : 34,481.50 = 34,481.50 : x
2. Step 2: Convert to fraction form
   15,686/34,481.50 = 34,481.50/x
3. Step 3: Cross multiply
   15,686x = 34,481.50 × 34,481.50
4. Step 4: Simplify right side
   15,686x = 1,188,973,842.25
5. Step 5: Solve for x
   x = 1,188,973,842.25/15,686
6. Step 6: Final answer
   x = 75,798.41