Finding the Third Proportional to 35,609 and 76,928.50

Step by Step Solution

1. Step 1: Write the proportion equation
   35,609 : 76,928.50 = 76,928.50 : x
2. Step 2: Convert to fraction form
   35,609/76,928.50 = 76,928.50/x
3. Step 3: Cross multiply
   35,609x = 76,928.50 × 76,928.50
4. Step 4: Simplify right side
   35,609x = 5,917,994,112.25
5. Step 5: Solve for x
   x = 5,917,994,112.25/35,609
6. Step 6: Final answer
   x = 166,193.77