Finding the Third Proportional to 33,477.75 and 78,893.25

Step by Step Solution

1. Step 1: Write the proportion equation
   33,477.75 : 78,893.25 = 78,893.25 : x
2. Step 2: Convert to fraction form
   33,477.75/78,893.25 = 78,893.25/x
3. Step 3: Cross multiply
   33,477.75x = 78,893.25 × 78,893.25
4. Step 4: Simplify right side
   33,477.75x = 6,224,144,895.56
5. Step 5: Solve for x
   x = 6,224,144,895.56/33,477.75
6. Step 6: Final answer
   x = 185,918.85