Finding the Third Proportional to 14,377.50 and 33,608.25

Step by Step Solution

1. Step 1: Write the proportion equation
   14,377.50 : 33,608.25 = 33,608.25 : x
2. Step 2: Convert to fraction form
   14,377.50/33,608.25 = 33,608.25/x
3. Step 3: Cross multiply
   14,377.50x = 33,608.25 × 33,608.25
4. Step 4: Simplify right side
   14,377.50x = 1,129,514,468.06
5. Step 5: Solve for x
   x = 1,129,514,468.06/14,377.50
6. Step 6: Final answer
   x = 78,561.26