Finding the Third Proportional to 33,082 and 64,493.50

Step by Step Solution

1. Step 1: Write the proportion equation
   33,082 : 64,493.50 = 64,493.50 : x
2. Step 2: Convert to fraction form
   33,082/64,493.50 = 64,493.50/x
3. Step 3: Cross multiply
   33,082x = 64,493.50 × 64,493.50
4. Step 4: Simplify right side
   33,082x = 4,159,411,542.25
5. Step 5: Solve for x
   x = 4,159,411,542.25/33,082
6. Step 6: Final answer
   x = 125,730.35