Finding the Third Proportional to 33,620 and 49,166

Step by Step Solution

1. Step 1: Write the proportion equation
   33,620 : 49,166 = 49,166 : x
2. Step 2: Convert to fraction form
   33,620/49,166 = 49,166/x
3. Step 3: Cross multiply
   33,620x = 49,166 × 49,166
4. Step 4: Simplify right side
   33,620x = 2,417,295,556
5. Step 5: Solve for x
   x = 2,417,295,556/33,620
6. Step 6: Final answer
   x = 71,900.52