Finding the Third Proportional to 33,772.50 and 78,185.25

Step by Step Solution

1. Step 1: Write the proportion equation
   33,772.50 : 78,185.25 = 78,185.25 : x
2. Step 2: Convert to fraction form
   33,772.50/78,185.25 = 78,185.25/x
3. Step 3: Cross multiply
   33,772.50x = 78,185.25 × 78,185.25
4. Step 4: Simplify right side
   33,772.50x = 6,112,933,317.56
5. Step 5: Solve for x
   x = 6,112,933,317.56/33,772.50
6. Step 6: Final answer
   x = 181,003.28