Finding the Third Proportional to 35,786 and 80,703.50

Step by Step Solution

1. Step 1: Write the proportion equation
   35,786 : 80,703.50 = 80,703.50 : x
2. Step 2: Convert to fraction form
   35,786/80,703.50 = 80,703.50/x
3. Step 3: Cross multiply
   35,786x = 80,703.50 × 80,703.50
4. Step 4: Simplify right side
   35,786x = 6,513,054,912.25
5. Step 5: Solve for x
   x = 6,513,054,912.25/35,786
6. Step 6: Final answer
   x = 182,000.08