Finding the Third Proportional to 33,401 and 77,662.50

Step by Step Solution

1. Step 1: Write the proportion equation
   33,401 : 77,662.50 = 77,662.50 : x
2. Step 2: Convert to fraction form
   33,401/77,662.50 = 77,662.50/x
3. Step 3: Cross multiply
   33,401x = 77,662.50 × 77,662.50
4. Step 4: Simplify right side
   33,401x = 6,031,463,906.25
5. Step 5: Solve for x
   x = 6,031,463,906.25/33,401
6. Step 6: Final answer
   x = 180,577.35