Finding the Third Proportional to 34,686 and 81,853.50

Step by Step Solution

1. Step 1: Write the proportion equation
   34,686 : 81,853.50 = 81,853.50 : x
2. Step 2: Convert to fraction form
   34,686/81,853.50 = 81,853.50/x
3. Step 3: Cross multiply
   34,686x = 81,853.50 × 81,853.50
4. Step 4: Simplify right side
   34,686x = 6,699,995,462.25
5. Step 5: Solve for x
   x = 6,699,995,462.25/34,686
6. Step 6: Final answer
   x = 193,161.38