Finding the Third Proportional to 33,206 and 69,490

Step by Step Solution

1. Step 1: Write the proportion equation
   33,206 : 69,490 = 69,490 : x
2. Step 2: Convert to fraction form
   33,206/69,490 = 69,490/x
3. Step 3: Cross multiply
   33,206x = 69,490 × 69,490
4. Step 4: Simplify right side
   33,206x = 4,828,860,100
5. Step 5: Solve for x
   x = 4,828,860,100/33,206
6. Step 6: Final answer
   x = 145,421.31