Finding the Third Proportional to 33,649.50 and 70,786.50

Step by Step Solution

1. Step 1: Write the proportion equation
   33,649.50 : 70,786.50 = 70,786.50 : x
2. Step 2: Convert to fraction form
   33,649.50/70,786.50 = 70,786.50/x
3. Step 3: Cross multiply
   33,649.50x = 70,786.50 × 70,786.50
4. Step 4: Simplify right side
   33,649.50x = 5,010,728,582.25
5. Step 5: Solve for x
   x = 5,010,728,582.25/33,649.50
6. Step 6: Final answer
   x = 148,909.45